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Finding the Fourth Proportional to 205,363.17, 283,382.69 and 114,711.21

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Solution

The fourth proportional to 205,363.17, 283,382.69 and 114,711.21 is: 158,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,363.17 : 283,382.69 = 114,711.21 : x
  2. Step 2: Convert to fraction form
    205,363.17/283,382.69 = 114,711.21/x
  3. Step 3: Cross multiply
    205,363.17x = 283,382.69 × 114,711.21
  4. Step 4: Simplify right side
    205,363.17x = 32,507,170,689.40
  5. Step 5: Solve for x
    x = 32,507,170,689.40/205,363.17
  6. Step 6: Final answer
    x = 158,291.14

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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.