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Finding the Fourth Proportional to 203,432.40, 305,197.20 and 98,164.80

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Solution

The fourth proportional to 203,432.40, 305,197.20 and 98,164.80 is: 147,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,432.40 : 305,197.20 = 98,164.80 : x
  2. Step 2: Convert to fraction form
    203,432.40/305,197.20 = 98,164.80/x
  3. Step 3: Cross multiply
    203,432.40x = 305,197.20 × 98,164.80
  4. Step 4: Simplify right side
    203,432.40x = 29,959,622,098.56
  5. Step 5: Solve for x
    x = 29,959,622,098.56/203,432.40
  6. Step 6: Final answer
    x = 147,270.65

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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.