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Finding the Fourth Proportional to 207,558.40, 311,337.60 and 187,219.30

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Solution

The fourth proportional to 207,558.40, 311,337.60 and 187,219.30 is: 280,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,558.40 : 311,337.60 = 187,219.30 : x
  2. Step 2: Convert to fraction form
    207,558.40/311,337.60 = 187,219.30/x
  3. Step 3: Cross multiply
    207,558.40x = 311,337.60 × 187,219.30
  4. Step 4: Simplify right side
    207,558.40x = 58,288,407,535.68
  5. Step 5: Solve for x
    x = 58,288,407,535.68/207,558.40
  6. Step 6: Final answer
    x = 280,828.95

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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.