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Finding the Fourth Proportional to 220,471.52, 304,249.20 and 119,869.52

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Solution

The fourth proportional to 220,471.52, 304,249.20 and 119,869.52 is: 165,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,471.52 : 304,249.20 = 119,869.52 : x
  2. Step 2: Convert to fraction form
    220,471.52/304,249.20 = 119,869.52/x
  3. Step 3: Cross multiply
    220,471.52x = 304,249.20 × 119,869.52
  4. Step 4: Simplify right side
    220,471.52x = 36,470,205,564.38
  5. Step 5: Solve for x
    x = 36,470,205,564.38/220,471.52
  6. Step 6: Final answer
    x = 165,419.12

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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.