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Finding the Fourth Proportional to 146,407.20, 219,610.80 and 131,200.80

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Solution

The fourth proportional to 146,407.20, 219,610.80 and 131,200.80 is: 196,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,407.20 : 219,610.80 = 131,200.80 : x
  2. Step 2: Convert to fraction form
    146,407.20/219,610.80 = 131,200.80/x
  3. Step 3: Cross multiply
    146,407.20x = 219,610.80 × 131,200.80
  4. Step 4: Simplify right side
    146,407.20x = 28,813,112,648.64
  5. Step 5: Solve for x
    x = 28,813,112,648.64/146,407.20
  6. Step 6: Final answer
    x = 196,801.20

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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.