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Finding the Fourth Proportional to 138,875.30, 191,646.96 and 75,211.64

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Solution

The fourth proportional to 138,875.30, 191,646.96 and 75,211.64 is: 103,791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,875.30 : 191,646.96 = 75,211.64 : x
  2. Step 2: Convert to fraction form
    138,875.30/191,646.96 = 75,211.64/x
  3. Step 3: Cross multiply
    138,875.30x = 191,646.96 × 75,211.64
  4. Step 4: Simplify right side
    138,875.30x = 14,414,082,162.61
  5. Step 5: Solve for x
    x = 14,414,082,162.61/138,875.30
  6. Step 6: Final answer
    x = 103,791.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.