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Finding the Fourth Proportional to 178,691.20, 267,729.60 and 116,329.60

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Solution

The fourth proportional to 178,691.20, 267,729.60 and 116,329.60 is: 174,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,691.20 : 267,729.60 = 116,329.60 : x
  2. Step 2: Convert to fraction form
    178,691.20/267,729.60 = 116,329.60/x
  3. Step 3: Cross multiply
    178,691.20x = 267,729.60 × 116,329.60
  4. Step 4: Simplify right side
    178,691.20x = 31,144,877,276.16
  5. Step 5: Solve for x
    x = 31,144,877,276.16/178,691.20
  6. Step 6: Final answer
    x = 174,294.41

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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.