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Finding the Fourth Proportional to 178,469.59, 267,675.66 and 52,080.16

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Solution

The fourth proportional to 178,469.59, 267,675.66 and 52,080.16 is: 78,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,469.59 : 267,675.66 = 52,080.16 : x
  2. Step 2: Convert to fraction form
    178,469.59/267,675.66 = 52,080.16/x
  3. Step 3: Cross multiply
    178,469.59x = 267,675.66 × 52,080.16
  4. Step 4: Simplify right side
    178,469.59x = 13,940,591,200.91
  5. Step 5: Solve for x
    x = 13,940,591,200.91/178,469.59
  6. Step 6: Final answer
    x = 78,111.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.