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Finding the Fourth Proportional to 138,641.12, 207,959.84 and 33,459.60

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Solution

The fourth proportional to 138,641.12, 207,959.84 and 33,459.60 is: 50,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,641.12 : 207,959.84 = 33,459.60 : x
  2. Step 2: Convert to fraction form
    138,641.12/207,959.84 = 33,459.60/x
  3. Step 3: Cross multiply
    138,641.12x = 207,959.84 × 33,459.60
  4. Step 4: Simplify right side
    138,641.12x = 6,958,253,062.46
  5. Step 5: Solve for x
    x = 6,958,253,062.46/138,641.12
  6. Step 6: Final answer
    x = 50,188.96

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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.