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Finding the Fourth Proportional to 138,284.32, 207,494.22 and 49,544.68

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Solution

The fourth proportional to 138,284.32, 207,494.22 and 49,544.68 is: 74,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,284.32 : 207,494.22 = 49,544.68 : x
  2. Step 2: Convert to fraction form
    138,284.32/207,494.22 = 49,544.68/x
  3. Step 3: Cross multiply
    138,284.32x = 207,494.22 × 49,544.68
  4. Step 4: Simplify right side
    138,284.32x = 10,280,234,731.75
  5. Step 5: Solve for x
    x = 10,280,234,731.75/138,284.32
  6. Step 6: Final answer
    x = 74,341.29

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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.