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Finding the Fourth Proportional to 146,123.20, 218,747.40 and 137,472.40

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Solution

The fourth proportional to 146,123.20, 218,747.40 and 137,472.40 is: 205,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,123.20 : 218,747.40 = 137,472.40 : x
  2. Step 2: Convert to fraction form
    146,123.20/218,747.40 = 137,472.40/x
  3. Step 3: Cross multiply
    146,123.20x = 218,747.40 × 137,472.40
  4. Step 4: Simplify right side
    146,123.20x = 30,071,730,071.76
  5. Step 5: Solve for x
    x = 30,071,730,071.76/146,123.20
  6. Step 6: Final answer
    x = 205,797.09

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