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Finding the Fourth Proportional to 129,175.05, 178,251.47 and 71,810.87

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Solution

The fourth proportional to 129,175.05, 178,251.47 and 71,810.87 is: 99,093.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,175.05 : 178,251.47 = 71,810.87 : x
  2. Step 2: Convert to fraction form
    129,175.05/178,251.47 = 71,810.87/x
  3. Step 3: Cross multiply
    129,175.05x = 178,251.47 × 71,810.87
  4. Step 4: Simplify right side
    129,175.05x = 12,800,393,512.07
  5. Step 5: Solve for x
    x = 12,800,393,512.07/129,175.05
  6. Step 6: Final answer
    x = 99,093.39

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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.