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Finding the Fourth Proportional to 146,540.10, 219,766.95 and 57,764.10

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Solution

The fourth proportional to 146,540.10, 219,766.95 and 57,764.10 is: 86,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,540.10 : 219,766.95 = 57,764.10 : x
  2. Step 2: Convert to fraction form
    146,540.10/219,766.95 = 57,764.10/x
  3. Step 3: Cross multiply
    146,540.10x = 219,766.95 × 57,764.10
  4. Step 4: Simplify right side
    146,540.10x = 12,694,640,076.50
  5. Step 5: Solve for x
    x = 12,694,640,076.50/146,540.10
  6. Step 6: Final answer
    x = 86,629.12

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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.