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Finding the Fourth Proportional to 205,680.66, 283,839.96 and 115,038.18

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Solution

The fourth proportional to 205,680.66, 283,839.96 and 115,038.18 is: 158,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,680.66 : 283,839.96 = 115,038.18 : x
  2. Step 2: Convert to fraction form
    205,680.66/283,839.96 = 115,038.18/x
  3. Step 3: Cross multiply
    205,680.66x = 283,839.96 × 115,038.18
  4. Step 4: Simplify right side
    205,680.66x = 32,652,432,409.67
  5. Step 5: Solve for x
    x = 32,652,432,409.67/205,680.66
  6. Step 6: Final answer
    x = 158,753.05

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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.