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Finding the Fourth Proportional to 178,257.40, 267,537.30 and 73,151.80

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Solution

The fourth proportional to 178,257.40, 267,537.30 and 73,151.80 is: 109,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,257.40 : 267,537.30 = 73,151.80 : x
  2. Step 2: Convert to fraction form
    178,257.40/267,537.30 = 73,151.80/x
  3. Step 3: Cross multiply
    178,257.40x = 267,537.30 × 73,151.80
  4. Step 4: Simplify right side
    178,257.40x = 19,570,835,062.14
  5. Step 5: Solve for x
    x = 19,570,835,062.14/178,257.40
  6. Step 6: Final answer
    x = 109,789.75

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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.