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Finding the Fourth Proportional to 129,571.56, 178,747.63 and 75,823.30

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Solution

The fourth proportional to 129,571.56, 178,747.63 and 75,823.30 is: 104,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,571.56 : 178,747.63 = 75,823.30 : x
  2. Step 2: Convert to fraction form
    129,571.56/178,747.63 = 75,823.30/x
  3. Step 3: Cross multiply
    129,571.56x = 178,747.63 × 75,823.30
  4. Step 4: Simplify right side
    129,571.56x = 13,553,235,173.78
  5. Step 5: Solve for x
    x = 13,553,235,173.78/129,571.56
  6. Step 6: Final answer
    x = 104,600.39

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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.