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Finding the Fourth Proportional to 129,104.16, 178,132.44 and 75,358.44

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Solution

The fourth proportional to 129,104.16, 178,132.44 and 75,358.44 is: 103,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,104.16 : 178,132.44 = 75,358.44 : x
  2. Step 2: Convert to fraction form
    129,104.16/178,132.44 = 75,358.44/x
  3. Step 3: Cross multiply
    129,104.16x = 178,132.44 × 75,358.44
  4. Step 4: Simplify right side
    129,104.16x = 13,423,782,791.79
  5. Step 5: Solve for x
    x = 13,423,782,791.79/129,104.16
  6. Step 6: Final answer
    x = 103,976.38

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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.