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Finding the Fourth Proportional to 129,177.75, 178,282 and 72,589.13

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Solution

The fourth proportional to 129,177.75, 178,282 and 72,589.13 is: 100,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,177.75 : 178,282 = 72,589.13 : x
  2. Step 2: Convert to fraction form
    129,177.75/178,282 = 72,589.13/x
  3. Step 3: Cross multiply
    129,177.75x = 178,282 × 72,589.13
  4. Step 4: Simplify right side
    129,177.75x = 12,941,335,274.66
  5. Step 5: Solve for x
    x = 12,941,335,274.66/129,177.75
  6. Step 6: Final answer
    x = 100,182.39

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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.