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Finding the Fourth Proportional to 267,545.80, 401,189.10 and 149,091.40

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Solution

The fourth proportional to 267,545.80, 401,189.10 and 149,091.40 is: 223,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,545.80 : 401,189.10 = 149,091.40 : x
  2. Step 2: Convert to fraction form
    267,545.80/401,189.10 = 149,091.40/x
  3. Step 3: Cross multiply
    267,545.80x = 401,189.10 × 149,091.40
  4. Step 4: Simplify right side
    267,545.80x = 59,813,844,583.74
  5. Step 5: Solve for x
    x = 59,813,844,583.74/267,545.80
  6. Step 6: Final answer
    x = 223,564.88

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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.