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Finding the Fourth Proportional to 178,249.88, 267,375.30 and 45,130.16

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Solution

The fourth proportional to 178,249.88, 267,375.30 and 45,130.16 is: 67,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,249.88 : 267,375.30 = 45,130.16 : x
  2. Step 2: Convert to fraction form
    178,249.88/267,375.30 = 45,130.16/x
  3. Step 3: Cross multiply
    178,249.88x = 267,375.30 × 45,130.16
  4. Step 4: Simplify right side
    178,249.88x = 12,066,690,069.05
  5. Step 5: Solve for x
    x = 12,066,690,069.05/178,249.88
  6. Step 6: Final answer
    x = 67,695.36

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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.