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Finding the Fourth Proportional to 205,470.96, 283,563 and 114,827.28

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Solution

The fourth proportional to 205,470.96, 283,563 and 114,827.28 is: 158,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,470.96 : 283,563 = 114,827.28 : x
  2. Step 2: Convert to fraction form
    205,470.96/283,563 = 114,827.28/x
  3. Step 3: Cross multiply
    205,470.96x = 283,563 × 114,827.28
  4. Step 4: Simplify right side
    205,470.96x = 32,560,767,998.64
  5. Step 5: Solve for x
    x = 32,560,767,998.64/205,470.96
  6. Step 6: Final answer
    x = 158,468.95

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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.