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Finding the Fourth Proportional to 207,246.20, 311,022.90 and 137,102.20

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Solution

The fourth proportional to 207,246.20, 311,022.90 and 137,102.20 is: 205,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,246.20 : 311,022.90 = 137,102.20 : x
  2. Step 2: Convert to fraction form
    207,246.20/311,022.90 = 137,102.20/x
  3. Step 3: Cross multiply
    207,246.20x = 311,022.90 × 137,102.20
  4. Step 4: Simplify right side
    207,246.20x = 42,641,923,840.38
  5. Step 5: Solve for x
    x = 42,641,923,840.38/207,246.20
  6. Step 6: Final answer
    x = 205,754.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.