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Finding the Fourth Proportional to 205,246.52, 283,287.42 and 120,390.92

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Solution

The fourth proportional to 205,246.52, 283,287.42 and 120,390.92 is: 166,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,246.52 : 283,287.42 = 120,390.92 : x
  2. Step 2: Convert to fraction form
    205,246.52/283,287.42 = 120,390.92/x
  3. Step 3: Cross multiply
    205,246.52x = 283,287.42 × 120,390.92
  4. Step 4: Simplify right side
    205,246.52x = 34,105,233,118.23
  5. Step 5: Solve for x
    x = 34,105,233,118.23/205,246.52
  6. Step 6: Final answer
    x = 166,167.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.