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Finding the Fourth Proportional to 178,490.50, 267,760.80 and 52,140.02

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Solution

The fourth proportional to 178,490.50, 267,760.80 and 52,140.02 is: 78,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,490.50 : 267,760.80 = 52,140.02 : x
  2. Step 2: Convert to fraction form
    178,490.50/267,760.80 = 52,140.02/x
  3. Step 3: Cross multiply
    178,490.50x = 267,760.80 × 52,140.02
  4. Step 4: Simplify right side
    178,490.50x = 13,961,052,128.41
  5. Step 5: Solve for x
    x = 13,961,052,128.41/178,490.50
  6. Step 6: Final answer
    x = 78,217.34

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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.