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Finding the Fourth Proportional to 146,563.20, 219,844.80 and 129,052.80

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Solution

The fourth proportional to 146,563.20, 219,844.80 and 129,052.80 is: 193,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,563.20 : 219,844.80 = 129,052.80 : x
  2. Step 2: Convert to fraction form
    146,563.20/219,844.80 = 129,052.80/x
  3. Step 3: Cross multiply
    146,563.20x = 219,844.80 × 129,052.80
  4. Step 4: Simplify right side
    146,563.20x = 28,371,587,005.44
  5. Step 5: Solve for x
    x = 28,371,587,005.44/146,563.20
  6. Step 6: Final answer
    x = 193,579.20

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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.