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Finding the Fourth Proportional to 206,969.14, 311,836.72 and 187,001.83

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Solution

The fourth proportional to 206,969.14, 311,836.72 and 187,001.83 is: 281,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,969.14 : 311,836.72 = 187,001.83 : x
  2. Step 2: Convert to fraction form
    206,969.14/311,836.72 = 187,001.83/x
  3. Step 3: Cross multiply
    206,969.14x = 311,836.72 × 187,001.83
  4. Step 4: Simplify right side
    206,969.14x = 58,314,037,301.20
  5. Step 5: Solve for x
    x = 58,314,037,301.20/206,969.14
  6. Step 6: Final answer
    x = 281,752.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.