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Finding the Fourth Proportional to 178,407.50, 267,585.20 and 52,013.78

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Solution

The fourth proportional to 178,407.50, 267,585.20 and 52,013.78 is: 78,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,407.50 : 267,585.20 = 52,013.78 : x
  2. Step 2: Convert to fraction form
    178,407.50/267,585.20 = 52,013.78/x
  3. Step 3: Cross multiply
    178,407.50x = 267,585.20 × 52,013.78
  4. Step 4: Simplify right side
    178,407.50x = 13,918,117,724.06
  5. Step 5: Solve for x
    x = 13,918,117,724.06/178,407.50
  6. Step 6: Final answer
    x = 78,013.08

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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.