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Finding the Fourth Proportional to 269,664.80, 372,211.44 and 156,524

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Solution

The fourth proportional to 269,664.80, 372,211.44 and 156,524 is: 216,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,664.80 : 372,211.44 = 156,524 : x
  2. Step 2: Convert to fraction form
    269,664.80/372,211.44 = 156,524/x
  3. Step 3: Cross multiply
    269,664.80x = 372,211.44 × 156,524
  4. Step 4: Simplify right side
    269,664.80x = 58,260,023,434.56
  5. Step 5: Solve for x
    x = 58,260,023,434.56/269,664.80
  6. Step 6: Final answer
    x = 216,046.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.