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Finding the Fourth Proportional to 220,789.38, 304,729.22 and 130,140.12

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Solution

The fourth proportional to 220,789.38, 304,729.22 and 130,140.12 is: 179,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,789.38 : 304,729.22 = 130,140.12 : x
  2. Step 2: Convert to fraction form
    220,789.38/304,729.22 = 130,140.12/x
  3. Step 3: Cross multiply
    220,789.38x = 304,729.22 × 130,140.12
  4. Step 4: Simplify right side
    220,789.38x = 39,657,497,258.31
  5. Step 5: Solve for x
    x = 39,657,497,258.31/220,789.38
  6. Step 6: Final answer
    x = 179,616.87

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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.