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Finding the Fourth Proportional to 154,545.40, 231,380.70 and 137,049.40

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Solution

The fourth proportional to 154,545.40, 231,380.70 and 137,049.40 is: 205,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,545.40 : 231,380.70 = 137,049.40 : x
  2. Step 2: Convert to fraction form
    154,545.40/231,380.70 = 137,049.40/x
  3. Step 3: Cross multiply
    154,545.40x = 231,380.70 × 137,049.40
  4. Step 4: Simplify right side
    154,545.40x = 31,710,586,106.58
  5. Step 5: Solve for x
    x = 31,710,586,106.58/154,545.40
  6. Step 6: Final answer
    x = 205,186.22

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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.