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Finding the Fourth Proportional to 157,663.33, 217,812.34 and 103,344.42

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Solution

The fourth proportional to 157,663.33, 217,812.34 and 103,344.42 is: 142,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,663.33 : 217,812.34 = 103,344.42 : x
  2. Step 2: Convert to fraction form
    157,663.33/217,812.34 = 103,344.42/x
  3. Step 3: Cross multiply
    157,663.33x = 217,812.34 × 103,344.42
  4. Step 4: Simplify right side
    157,663.33x = 22,509,690,892.12
  5. Step 5: Solve for x
    x = 22,509,690,892.12/157,663.33
  6. Step 6: Final answer
    x = 142,770.62

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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.