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Finding the Fourth Proportional to 203,206.80, 280,397.61 and 112,540.38

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Solution

The fourth proportional to 203,206.80, 280,397.61 and 112,540.38 is: 155,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,206.80 : 280,397.61 = 112,540.38 : x
  2. Step 2: Convert to fraction form
    203,206.80/280,397.61 = 112,540.38/x
  3. Step 3: Cross multiply
    203,206.80x = 280,397.61 × 112,540.38
  4. Step 4: Simplify right side
    203,206.80x = 31,556,053,580.49
  5. Step 5: Solve for x
    x = 31,556,053,580.49/203,206.80
  6. Step 6: Final answer
    x = 155,290.34

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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.