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Finding the Fourth Proportional to 205,683.68, 283,844.10 and 115,041.18

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Solution

The fourth proportional to 205,683.68, 283,844.10 and 115,041.18 is: 158,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,683.68 : 283,844.10 = 115,041.18 : x
  2. Step 2: Convert to fraction form
    205,683.68/283,844.10 = 115,041.18/x
  3. Step 3: Cross multiply
    205,683.68x = 283,844.10 × 115,041.18
  4. Step 4: Simplify right side
    205,683.68x = 32,653,760,200.04
  5. Step 5: Solve for x
    x = 32,653,760,200.04/205,683.68
  6. Step 6: Final answer
    x = 158,757.18

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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.