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Finding the Fourth Proportional to 206,431.59, 284,808.30 and 120,371.10

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Solution

The fourth proportional to 206,431.59, 284,808.30 and 120,371.10 is: 166,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,431.59 : 284,808.30 = 120,371.10 : x
  2. Step 2: Convert to fraction form
    206,431.59/284,808.30 = 120,371.10/x
  3. Step 3: Cross multiply
    206,431.59x = 284,808.30 × 120,371.10
  4. Step 4: Simplify right side
    206,431.59x = 34,282,688,360.13
  5. Step 5: Solve for x
    x = 34,282,688,360.13/206,431.59
  6. Step 6: Final answer
    x = 166,072.88

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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.