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Finding the Fourth Proportional to 178,627.82, 267,691.52 and 134,226.24

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Solution

The fourth proportional to 178,627.82, 267,691.52 and 134,226.24 is: 201,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,627.82 : 267,691.52 = 134,226.24 : x
  2. Step 2: Convert to fraction form
    178,627.82/267,691.52 = 134,226.24/x
  3. Step 3: Cross multiply
    178,627.82x = 267,691.52 × 134,226.24
  4. Step 4: Simplify right side
    178,627.82x = 35,931,225,538.35
  5. Step 5: Solve for x
    x = 35,931,225,538.35/178,627.82
  6. Step 6: Final answer
    x = 201,151.35

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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.