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Finding the Fourth Proportional to 205,326.87, 283,348.13 and 114,684.17

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Solution

The fourth proportional to 205,326.87, 283,348.13 and 114,684.17 is: 158,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,326.87 : 283,348.13 = 114,684.17 : x
  2. Step 2: Convert to fraction form
    205,326.87/283,348.13 = 114,684.17/x
  3. Step 3: Cross multiply
    205,326.87x = 283,348.13 × 114,684.17
  4. Step 4: Simplify right side
    205,326.87x = 32,495,543,119.94
  5. Step 5: Solve for x
    x = 32,495,543,119.94/205,326.87
  6. Step 6: Final answer
    x = 158,262.50

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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.