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Finding the Fourth Proportional to 195,469.64, 292,671.19 and 147,940.97

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Solution

The fourth proportional to 195,469.64, 292,671.19 and 147,940.97 is: 221,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,469.64 : 292,671.19 = 147,940.97 : x
  2. Step 2: Convert to fraction form
    195,469.64/292,671.19 = 147,940.97/x
  3. Step 3: Cross multiply
    195,469.64x = 292,671.19 × 147,940.97
  4. Step 4: Simplify right side
    195,469.64x = 43,298,058,276.30
  5. Step 5: Solve for x
    x = 43,298,058,276.30/195,469.64
  6. Step 6: Final answer
    x = 221,507.84

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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.