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Finding the Fourth Proportional to 165,164.30, 247,658.96 and 65,320.46

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Solution

The fourth proportional to 165,164.30, 247,658.96 and 65,320.46 is: 97,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,164.30 : 247,658.96 = 65,320.46 : x
  2. Step 2: Convert to fraction form
    165,164.30/247,658.96 = 65,320.46/x
  3. Step 3: Cross multiply
    165,164.30x = 247,658.96 × 65,320.46
  4. Step 4: Simplify right side
    165,164.30x = 16,177,197,190.32
  5. Step 5: Solve for x
    x = 16,177,197,190.32/165,164.30
  6. Step 6: Final answer
    x = 97,946.09

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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.