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Finding the Fourth Proportional to 220,791.38, 304,731.98 and 130,142.12

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Solution

The fourth proportional to 220,791.38, 304,731.98 and 130,142.12 is: 179,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,791.38 : 304,731.98 = 130,142.12 : x
  2. Step 2: Convert to fraction form
    220,791.38/304,731.98 = 130,142.12/x
  3. Step 3: Cross multiply
    220,791.38x = 304,731.98 × 130,142.12
  4. Step 4: Simplify right side
    220,791.38x = 39,658,465,909.00
  5. Step 5: Solve for x
    x = 39,658,465,909.00/220,791.38
  6. Step 6: Final answer
    x = 179,619.63

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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.