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Finding the Fourth Proportional to 203,207.80, 280,398.99 and 112,541.38

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Solution

The fourth proportional to 203,207.80, 280,398.99 and 112,541.38 is: 155,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,207.80 : 280,398.99 = 112,541.38 : x
  2. Step 2: Convert to fraction form
    203,207.80/280,398.99 = 112,541.38/x
  3. Step 3: Cross multiply
    203,207.80x = 280,398.99 × 112,541.38
  4. Step 4: Simplify right side
    203,207.80x = 31,556,489,285.21
  5. Step 5: Solve for x
    x = 31,556,489,285.21/203,207.80
  6. Step 6: Final answer
    x = 155,291.72

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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.