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Finding the Fourth Proportional to 205,655.64, 283,819.24 and 115,020.03

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Solution

The fourth proportional to 205,655.64, 283,819.24 and 115,020.03 is: 158,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,655.64 : 283,819.24 = 115,020.03 : x
  2. Step 2: Convert to fraction form
    205,655.64/283,819.24 = 115,020.03/x
  3. Step 3: Cross multiply
    205,655.64x = 283,819.24 × 115,020.03
  4. Step 4: Simplify right side
    205,655.64x = 32,644,897,499.38
  5. Step 5: Solve for x
    x = 32,644,897,499.38/205,655.64
  6. Step 6: Final answer
    x = 158,735.73

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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.