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Finding the Fourth Proportional to 159,472.20, 238,862.70 and 131,824.20

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Solution

The fourth proportional to 159,472.20, 238,862.70 and 131,824.20 is: 197,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,472.20 : 238,862.70 = 131,824.20 : x
  2. Step 2: Convert to fraction form
    159,472.20/238,862.70 = 131,824.20/x
  3. Step 3: Cross multiply
    159,472.20x = 238,862.70 × 131,824.20
  4. Step 4: Simplify right side
    159,472.20x = 31,487,884,337.34
  5. Step 5: Solve for x
    x = 31,487,884,337.34/159,472.20
  6. Step 6: Final answer
    x = 197,450.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.