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Finding the Fourth Proportional to 105,166.40, 157,749.60 and 81,665.60

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Solution

The fourth proportional to 105,166.40, 157,749.60 and 81,665.60 is: 122,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,166.40 : 157,749.60 = 81,665.60 : x
  2. Step 2: Convert to fraction form
    105,166.40/157,749.60 = 81,665.60/x
  3. Step 3: Cross multiply
    105,166.40x = 157,749.60 × 81,665.60
  4. Step 4: Simplify right side
    105,166.40x = 12,882,715,733.76
  5. Step 5: Solve for x
    x = 12,882,715,733.76/105,166.40
  6. Step 6: Final answer
    x = 122,498.40

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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.