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Finding the Fourth Proportional to 205,693.68, 283,853.52 and 116,269.68

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Solution

The fourth proportional to 205,693.68, 283,853.52 and 116,269.68 is: 160,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,693.68 : 283,853.52 = 116,269.68 : x
  2. Step 2: Convert to fraction form
    205,693.68/283,853.52 = 116,269.68/x
  3. Step 3: Cross multiply
    205,693.68x = 283,853.52 × 116,269.68
  4. Step 4: Simplify right side
    205,693.68x = 33,003,557,937.27
  5. Step 5: Solve for x
    x = 33,003,557,937.27/205,693.68
  6. Step 6: Final answer
    x = 160,450.03

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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.