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Finding the Fourth Proportional to 206,877.10, 285,499.21 and 116,233.24

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Solution

The fourth proportional to 206,877.10, 285,499.21 and 116,233.24 is: 160,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,877.10 : 285,499.21 = 116,233.24 : x
  2. Step 2: Convert to fraction form
    206,877.10/285,499.21 = 116,233.24/x
  3. Step 3: Cross multiply
    206,877.10x = 285,499.21 × 116,233.24
  4. Step 4: Simplify right side
    206,877.10x = 33,184,498,195.74
  5. Step 5: Solve for x
    x = 33,184,498,195.74/206,877.10
  6. Step 6: Final answer
    x = 160,406.82

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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.