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Finding the Fourth Proportional to 206,871.24, 285,480.36 and 114,988.12

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Solution

The fourth proportional to 206,871.24, 285,480.36 and 114,988.12 is: 158,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,871.24 : 285,480.36 = 114,988.12 : x
  2. Step 2: Convert to fraction form
    206,871.24/285,480.36 = 114,988.12/x
  3. Step 3: Cross multiply
    206,871.24x = 285,480.36 × 114,988.12
  4. Step 4: Simplify right side
    206,871.24x = 32,826,849,742.78
  5. Step 5: Solve for x
    x = 32,826,849,742.78/206,871.24
  6. Step 6: Final answer
    x = 158,682.52

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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.