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Finding the Fourth Proportional to 220,658.38, 304,381.60 and 139,947.14

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Solution

The fourth proportional to 220,658.38, 304,381.60 and 139,947.14 is: 193,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,658.38 : 304,381.60 = 139,947.14 : x
  2. Step 2: Convert to fraction form
    220,658.38/304,381.60 = 139,947.14/x
  3. Step 3: Cross multiply
    220,658.38x = 304,381.60 × 139,947.14
  4. Step 4: Simplify right side
    220,658.38x = 42,597,334,799.71
  5. Step 5: Solve for x
    x = 42,597,334,799.71/220,658.38
  6. Step 6: Final answer
    x = 193,046.53

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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.