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Finding the Fourth Proportional to 269,139.80, 403,515.30 and 150,847.40

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Solution

The fourth proportional to 269,139.80, 403,515.30 and 150,847.40 is: 226,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,139.80 : 403,515.30 = 150,847.40 : x
  2. Step 2: Convert to fraction form
    269,139.80/403,515.30 = 150,847.40/x
  3. Step 3: Cross multiply
    269,139.80x = 403,515.30 × 150,847.40
  4. Step 4: Simplify right side
    269,139.80x = 60,869,233,865.22
  5. Step 5: Solve for x
    x = 60,869,233,865.22/269,139.80
  6. Step 6: Final answer
    x = 226,162.14

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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.