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Finding the Fourth Proportional to 178,542.40, 267,813.60 and 53,867.20

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Solution

The fourth proportional to 178,542.40, 267,813.60 and 53,867.20 is: 80,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,542.40 : 267,813.60 = 53,867.20 : x
  2. Step 2: Convert to fraction form
    178,542.40/267,813.60 = 53,867.20/x
  3. Step 3: Cross multiply
    178,542.40x = 267,813.60 × 53,867.20
  4. Step 4: Simplify right side
    178,542.40x = 14,426,368,753.92
  5. Step 5: Solve for x
    x = 14,426,368,753.92/178,542.40
  6. Step 6: Final answer
    x = 80,800.80

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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.