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Finding the Fourth Proportional to 204,421.20, 282,100.84 and 114,997.20

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Solution

The fourth proportional to 204,421.20, 282,100.84 and 114,997.20 is: 158,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,421.20 : 282,100.84 = 114,997.20 : x
  2. Step 2: Convert to fraction form
    204,421.20/282,100.84 = 114,997.20/x
  3. Step 3: Cross multiply
    204,421.20x = 282,100.84 × 114,997.20
  4. Step 4: Simplify right side
    204,421.20x = 32,440,806,717.65
  5. Step 5: Solve for x
    x = 32,440,806,717.65/204,421.20
  6. Step 6: Final answer
    x = 158,695.90

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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.