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Finding the Fourth Proportional to 205,444.96, 283,515.68 and 116,020.96

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Solution

The fourth proportional to 205,444.96, 283,515.68 and 116,020.96 is: 160,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,444.96 : 283,515.68 = 116,020.96 : x
  2. Step 2: Convert to fraction form
    205,444.96/283,515.68 = 116,020.96/x
  3. Step 3: Cross multiply
    205,444.96x = 283,515.68 × 116,020.96
  4. Step 4: Simplify right side
    205,444.96x = 32,893,761,368.65
  5. Step 5: Solve for x
    x = 32,893,761,368.65/205,444.96
  6. Step 6: Final answer
    x = 160,109.85

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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.