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Finding the Fourth Proportional to 129,311.76, 178,423.50 and 75,586.39

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Solution

The fourth proportional to 129,311.76, 178,423.50 and 75,586.39 is: 104,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,311.76 : 178,423.50 = 75,586.39 : x
  2. Step 2: Convert to fraction form
    129,311.76/178,423.50 = 75,586.39/x
  3. Step 3: Cross multiply
    129,311.76x = 178,423.50 × 75,586.39
  4. Step 4: Simplify right side
    129,311.76x = 13,486,387,526.66
  5. Step 5: Solve for x
    x = 13,486,387,526.66/129,311.76
  6. Step 6: Final answer
    x = 104,293.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.