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Finding the Fourth Proportional to 232,687.75, 349,049.30 and 90,471.92

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Solution

The fourth proportional to 232,687.75, 349,049.30 and 90,471.92 is: 135,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,687.75 : 349,049.30 = 90,471.92 : x
  2. Step 2: Convert to fraction form
    232,687.75/349,049.30 = 90,471.92/x
  3. Step 3: Cross multiply
    232,687.75x = 349,049.30 × 90,471.92
  4. Step 4: Simplify right side
    232,687.75x = 31,579,160,345.66
  5. Step 5: Solve for x
    x = 31,579,160,345.66/232,687.75
  6. Step 6: Final answer
    x = 135,714.75

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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.