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Finding the Fourth Proportional to 205,523.88, 283,601.24 and 114,870.30

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Solution

The fourth proportional to 205,523.88, 283,601.24 and 114,870.30 is: 158,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,523.88 : 283,601.24 = 114,870.30 : x
  2. Step 2: Convert to fraction form
    205,523.88/283,601.24 = 114,870.30/x
  3. Step 3: Cross multiply
    205,523.88x = 283,601.24 × 114,870.30
  4. Step 4: Simplify right side
    205,523.88x = 32,577,359,519.17
  5. Step 5: Solve for x
    x = 32,577,359,519.17/205,523.88
  6. Step 6: Final answer
    x = 158,508.88

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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.