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Finding the Fourth Proportional to 333,101.68, 459,691.20 and 182,198.56

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Solution

The fourth proportional to 333,101.68, 459,691.20 and 182,198.56 is: 251,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,101.68 : 459,691.20 = 182,198.56 : x
  2. Step 2: Convert to fraction form
    333,101.68/459,691.20 = 182,198.56/x
  3. Step 3: Cross multiply
    333,101.68x = 459,691.20 × 182,198.56
  4. Step 4: Simplify right side
    333,101.68x = 83,755,074,684.67
  5. Step 5: Solve for x
    x = 83,755,074,684.67/333,101.68
  6. Step 6: Final answer
    x = 251,439.96

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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.