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Finding the Fourth Proportional to 205,397.52, 283,443.36 and 114,754.17

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Solution

The fourth proportional to 205,397.52, 283,443.36 and 114,754.17 is: 158,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,397.52 : 283,443.36 = 114,754.17 : x
  2. Step 2: Convert to fraction form
    205,397.52/283,443.36 = 114,754.17/x
  3. Step 3: Cross multiply
    205,397.52x = 283,443.36 × 114,754.17
  4. Step 4: Simplify right side
    205,397.52x = 32,526,305,527.82
  5. Step 5: Solve for x
    x = 32,526,305,527.82/205,397.52
  6. Step 6: Final answer
    x = 158,357.83

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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.