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Finding the Fourth Proportional to 115,757.34, 173,657.61 and 52,581.90

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Solution

The fourth proportional to 115,757.34, 173,657.61 and 52,581.90 is: 78,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,757.34 : 173,657.61 = 52,581.90 : x
  2. Step 2: Convert to fraction form
    115,757.34/173,657.61 = 52,581.90/x
  3. Step 3: Cross multiply
    115,757.34x = 173,657.61 × 52,581.90
  4. Step 4: Simplify right side
    115,757.34x = 9,131,247,083.26
  5. Step 5: Solve for x
    x = 9,131,247,083.26/115,757.34
  6. Step 6: Final answer
    x = 78,882.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.