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Finding the Fourth Proportional to 138,545.41, 207,818.16 and 33,364.38

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Solution

The fourth proportional to 138,545.41, 207,818.16 and 33,364.38 is: 50,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,545.41 : 207,818.16 = 33,364.38 : x
  2. Step 2: Convert to fraction form
    138,545.41/207,818.16 = 33,364.38/x
  3. Step 3: Cross multiply
    138,545.41x = 207,818.16 × 33,364.38
  4. Step 4: Simplify right side
    138,545.41x = 6,933,724,061.14
  5. Step 5: Solve for x
    x = 6,933,724,061.14/138,545.41
  6. Step 6: Final answer
    x = 50,046.58

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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.