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Finding the Fourth Proportional to 267,029.30, 400,414.35 and 148,574.90

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Solution

The fourth proportional to 267,029.30, 400,414.35 and 148,574.90 is: 222,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,029.30 : 400,414.35 = 148,574.90 : x
  2. Step 2: Convert to fraction form
    267,029.30/400,414.35 = 148,574.90/x
  3. Step 3: Cross multiply
    267,029.30x = 400,414.35 × 148,574.90
  4. Step 4: Simplify right side
    267,029.30x = 59,491,522,009.82
  5. Step 5: Solve for x
    x = 59,491,522,009.82/267,029.30
  6. Step 6: Final answer
    x = 222,790.24

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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.