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Finding the Fourth Proportional to 138,864, 208,331.52 and 40,368

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Solution

The fourth proportional to 138,864, 208,331.52 and 40,368 is: 60,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,864 : 208,331.52 = 40,368 : x
  2. Step 2: Convert to fraction form
    138,864/208,331.52 = 40,368/x
  3. Step 3: Cross multiply
    138,864x = 208,331.52 × 40,368
  4. Step 4: Simplify right side
    138,864x = 8,409,926,799.36
  5. Step 5: Solve for x
    x = 8,409,926,799.36/138,864
  6. Step 6: Final answer
    x = 60,562.33

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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.