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Finding the Fourth Proportional to 157,543.72, 217,483.14 and 97,125.16

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Solution

The fourth proportional to 157,543.72, 217,483.14 and 97,125.16 is: 134,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,543.72 : 217,483.14 = 97,125.16 : x
  2. Step 2: Convert to fraction form
    157,543.72/217,483.14 = 97,125.16/x
  3. Step 3: Cross multiply
    157,543.72x = 217,483.14 × 97,125.16
  4. Step 4: Simplify right side
    157,543.72x = 21,123,084,769.80
  5. Step 5: Solve for x
    x = 21,123,084,769.80/157,543.72
  6. Step 6: Final answer
    x = 134,077.61

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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.