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Finding the Fourth Proportional to 149,417.34, 206,189.92 and 81,432.86

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Solution

The fourth proportional to 149,417.34, 206,189.92 and 81,432.86 is: 112,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,417.34 : 206,189.92 = 81,432.86 : x
  2. Step 2: Convert to fraction form
    149,417.34/206,189.92 = 81,432.86/x
  3. Step 3: Cross multiply
    149,417.34x = 206,189.92 × 81,432.86
  4. Step 4: Simplify right side
    149,417.34x = 16,790,635,119.43
  5. Step 5: Solve for x
    x = 16,790,635,119.43/149,417.34
  6. Step 6: Final answer
    x = 112,374.07

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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.