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Finding the Fourth Proportional to 157,582.78, 217,463.47 and 85,962.17

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Solution

The fourth proportional to 157,582.78, 217,463.47 and 85,962.17 is: 118,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,582.78 : 217,463.47 = 85,962.17 : x
  2. Step 2: Convert to fraction form
    157,582.78/217,463.47 = 85,962.17/x
  3. Step 3: Cross multiply
    157,582.78x = 217,463.47 × 85,962.17
  4. Step 4: Simplify right side
    157,582.78x = 18,693,632,105.68
  5. Step 5: Solve for x
    x = 18,693,632,105.68/157,582.78
  6. Step 6: Final answer
    x = 118,627.38

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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.