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Finding the Fourth Proportional to 129,309.38, 178,446.94 and 72,720.75

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Solution

The fourth proportional to 129,309.38, 178,446.94 and 72,720.75 is: 100,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,309.38 : 178,446.94 = 72,720.75 : x
  2. Step 2: Convert to fraction form
    129,309.38/178,446.94 = 72,720.75/x
  3. Step 3: Cross multiply
    129,309.38x = 178,446.94 × 72,720.75
  4. Step 4: Simplify right side
    129,309.38x = 12,976,795,312.01
  5. Step 5: Solve for x
    x = 12,976,795,312.01/129,309.38
  6. Step 6: Final answer
    x = 100,354.63

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Why These Related Problems?

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