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Finding the Fourth Proportional to 205,118.08, 283,062.80 and 115,694.08

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Solution

The fourth proportional to 205,118.08, 283,062.80 and 115,694.08 is: 159,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,118.08 : 283,062.80 = 115,694.08 : x
  2. Step 2: Convert to fraction form
    205,118.08/283,062.80 = 115,694.08/x
  3. Step 3: Cross multiply
    205,118.08x = 283,062.80 × 115,694.08
  4. Step 4: Simplify right side
    205,118.08x = 32,748,690,228.22
  5. Step 5: Solve for x
    x = 32,748,690,228.22/205,118.08
  6. Step 6: Final answer
    x = 159,657.75

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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.