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Finding the Fourth Proportional to 157,042.50, 216,757.13 and 89,099.23

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Solution

The fourth proportional to 157,042.50, 216,757.13 and 89,099.23 is: 122,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,042.50 : 216,757.13 = 89,099.23 : x
  2. Step 2: Convert to fraction form
    157,042.50/216,757.13 = 89,099.23/x
  3. Step 3: Cross multiply
    157,042.50x = 216,757.13 × 89,099.23
  4. Step 4: Simplify right side
    157,042.50x = 19,312,893,380.01
  5. Step 5: Solve for x
    x = 19,312,893,380.01/157,042.50
  6. Step 6: Final answer
    x = 122,978.77

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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.