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Finding the Fourth Proportional to 149,416.68, 206,189.75 and 81,432.31

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Solution

The fourth proportional to 149,416.68, 206,189.75 and 81,432.31 is: 112,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,416.68 : 206,189.75 = 81,432.31 : x
  2. Step 2: Convert to fraction form
    149,416.68/206,189.75 = 81,432.31/x
  3. Step 3: Cross multiply
    149,416.68x = 206,189.75 × 81,432.31
  4. Step 4: Simplify right side
    149,416.68x = 16,790,506,947.22
  5. Step 5: Solve for x
    x = 16,790,506,947.22/149,416.68
  6. Step 6: Final answer
    x = 112,373.71

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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.