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Finding the Fourth Proportional to 83,646.30, 125,469.45 and 77,166.30

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Solution

The fourth proportional to 83,646.30, 125,469.45 and 77,166.30 is: 115,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646.30 : 125,469.45 = 77,166.30 : x
  2. Step 2: Convert to fraction form
    83,646.30/125,469.45 = 77,166.30/x
  3. Step 3: Cross multiply
    83,646.30x = 125,469.45 × 77,166.30
  4. Step 4: Simplify right side
    83,646.30x = 9,682,013,219.54
  5. Step 5: Solve for x
    x = 9,682,013,219.54/83,646.30
  6. Step 6: Final answer
    x = 115,749.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.