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Finding the Fourth Proportional to 267,029.80, 400,415.10 and 148,575.40

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Solution

The fourth proportional to 267,029.80, 400,415.10 and 148,575.40 is: 222,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,029.80 : 400,415.10 = 148,575.40 : x
  2. Step 2: Convert to fraction form
    267,029.80/400,415.10 = 148,575.40/x
  3. Step 3: Cross multiply
    267,029.80x = 400,415.10 × 148,575.40
  4. Step 4: Simplify right side
    267,029.80x = 59,491,833,648.54
  5. Step 5: Solve for x
    x = 59,491,833,648.54/267,029.80
  6. Step 6: Final answer
    x = 222,790.99

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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.