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Finding the Fourth Proportional to 280,302.80, 420,439.12 and 138,006.22

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Solution

The fourth proportional to 280,302.80, 420,439.12 and 138,006.22 is: 207,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,302.80 : 420,439.12 = 138,006.22 : x
  2. Step 2: Convert to fraction form
    280,302.80/420,439.12 = 138,006.22/x
  3. Step 3: Cross multiply
    280,302.80x = 420,439.12 × 138,006.22
  4. Step 4: Simplify right side
    280,302.80x = 58,023,213,859.82
  5. Step 5: Solve for x
    x = 58,023,213,859.82/280,302.80
  6. Step 6: Final answer
    x = 207,001.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.