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Finding the Fourth Proportional to 269,200.01, 403,419.03 and 149,309.73

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Solution

The fourth proportional to 269,200.01, 403,419.03 and 149,309.73 is: 223,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,200.01 : 403,419.03 = 149,309.73 : x
  2. Step 2: Convert to fraction form
    269,200.01/403,419.03 = 149,309.73/x
  3. Step 3: Cross multiply
    269,200.01x = 403,419.03 × 149,309.73
  4. Step 4: Simplify right side
    269,200.01x = 60,234,386,726.12
  5. Step 5: Solve for x
    x = 60,234,386,726.12/269,200.01
  6. Step 6: Final answer
    x = 223,753.29

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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.