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Finding the Fourth Proportional to 267,306.50, 368,882.97 and 148,074.50

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Solution

The fourth proportional to 267,306.50, 368,882.97 and 148,074.50 is: 204,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,306.50 : 368,882.97 = 148,074.50 : x
  2. Step 2: Convert to fraction form
    267,306.50/368,882.97 = 148,074.50/x
  3. Step 3: Cross multiply
    267,306.50x = 368,882.97 × 148,074.50
  4. Step 4: Simplify right side
    267,306.50x = 54,622,161,341.27
  5. Step 5: Solve for x
    x = 54,622,161,341.27/267,306.50
  6. Step 6: Final answer
    x = 204,342.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.