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Finding the Fourth Proportional to 113,070.96, 156,057.12 and 65,351.97

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Solution

The fourth proportional to 113,070.96, 156,057.12 and 65,351.97 is: 90,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,070.96 : 156,057.12 = 65,351.97 : x
  2. Step 2: Convert to fraction form
    113,070.96/156,057.12 = 65,351.97/x
  3. Step 3: Cross multiply
    113,070.96x = 156,057.12 × 65,351.97
  4. Step 4: Simplify right side
    113,070.96x = 10,198,640,224.53
  5. Step 5: Solve for x
    x = 10,198,640,224.53/113,070.96
  6. Step 6: Final answer
    x = 90,196.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.