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Finding the Fourth Proportional to 206,876.10, 285,497.83 and 116,232.24

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Solution

The fourth proportional to 206,876.10, 285,497.83 and 116,232.24 is: 160,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.10 : 285,497.83 = 116,232.24 : x
  2. Step 2: Convert to fraction form
    206,876.10/285,497.83 = 116,232.24/x
  3. Step 3: Cross multiply
    206,876.10x = 285,497.83 × 116,232.24
  4. Step 4: Simplify right side
    206,876.10x = 33,184,050,868.55
  5. Step 5: Solve for x
    x = 33,184,050,868.55/206,876.10
  6. Step 6: Final answer
    x = 160,405.44

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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.