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Finding the Fourth Proportional to 129,697.72, 178,952.38 and 78,709.31

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Solution

The fourth proportional to 129,697.72, 178,952.38 and 78,709.31 is: 108,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,697.72 : 178,952.38 = 78,709.31 : x
  2. Step 2: Convert to fraction form
    129,697.72/178,952.38 = 78,709.31/x
  3. Step 3: Cross multiply
    129,697.72x = 178,952.38 × 78,709.31
  4. Step 4: Simplify right side
    129,697.72x = 14,085,218,898.43
  5. Step 5: Solve for x
    x = 14,085,218,898.43/129,697.72
  6. Step 6: Final answer
    x = 108,600.36

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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.