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Finding the Fourth Proportional to 203,947.20, 305,834.40 and 98,798.40

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Solution

The fourth proportional to 203,947.20, 305,834.40 and 98,798.40 is: 148,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947.20 : 305,834.40 = 98,798.40 : x
  2. Step 2: Convert to fraction form
    203,947.20/305,834.40 = 98,798.40/x
  3. Step 3: Cross multiply
    203,947.20x = 305,834.40 × 98,798.40
  4. Step 4: Simplify right side
    203,947.20x = 30,215,949,384.96
  5. Step 5: Solve for x
    x = 30,215,949,384.96/203,947.20
  6. Step 6: Final answer
    x = 148,155.75

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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.