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Finding the Fourth Proportional to 178,399.20, 267,634.80 and 52,039.20

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Solution

The fourth proportional to 178,399.20, 267,634.80 and 52,039.20 is: 78,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,399.20 : 267,634.80 = 52,039.20 : x
  2. Step 2: Convert to fraction form
    178,399.20/267,634.80 = 52,039.20/x
  3. Step 3: Cross multiply
    178,399.20x = 267,634.80 × 52,039.20
  4. Step 4: Simplify right side
    178,399.20x = 13,927,500,884.16
  5. Step 5: Solve for x
    x = 13,927,500,884.16/178,399.20
  6. Step 6: Final answer
    x = 78,069.30

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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.