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Finding the Fourth Proportional to 157,411.74, 217,229.22 and 85,791.54

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Solution

The fourth proportional to 157,411.74, 217,229.22 and 85,791.54 is: 118,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,411.74 : 217,229.22 = 85,791.54 : x
  2. Step 2: Convert to fraction form
    157,411.74/217,229.22 = 85,791.54/x
  3. Step 3: Cross multiply
    157,411.74x = 217,229.22 × 85,791.54
  4. Step 4: Simplify right side
    157,411.74x = 18,636,429,316.80
  5. Step 5: Solve for x
    x = 18,636,429,316.80/157,411.74
  6. Step 6: Final answer
    x = 118,392.88

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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.