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Finding the Fourth Proportional to 205,229.68, 307,844.50 and 104,011.97

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Solution

The fourth proportional to 205,229.68, 307,844.50 and 104,011.97 is: 156,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,229.68 : 307,844.50 = 104,011.97 : x
  2. Step 2: Convert to fraction form
    205,229.68/307,844.50 = 104,011.97/x
  3. Step 3: Cross multiply
    205,229.68x = 307,844.50 × 104,011.97
  4. Step 4: Simplify right side
    205,229.68x = 32,019,511,417.30
  5. Step 5: Solve for x
    x = 32,019,511,417.30/205,229.68
  6. Step 6: Final answer
    x = 156,017.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.