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Finding the Fourth Proportional to 195,354.64, 269,591.01 and 105,930.64

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Solution

The fourth proportional to 195,354.64, 269,591.01 and 105,930.64 is: 146,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,354.64 : 269,591.01 = 105,930.64 : x
  2. Step 2: Convert to fraction form
    195,354.64/269,591.01 = 105,930.64/x
  3. Step 3: Cross multiply
    195,354.64x = 269,591.01 × 105,930.64
  4. Step 4: Simplify right side
    195,354.64x = 28,557,948,227.55
  5. Step 5: Solve for x
    x = 28,557,948,227.55/195,354.64
  6. Step 6: Final answer
    x = 146,185.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.