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Finding the Fourth Proportional to 195,338.64, 293,019.31 and 75,396.27

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Solution

The fourth proportional to 195,338.64, 293,019.31 and 75,396.27 is: 113,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,338.64 : 293,019.31 = 75,396.27 : x
  2. Step 2: Convert to fraction form
    195,338.64/293,019.31 = 75,396.27/x
  3. Step 3: Cross multiply
    195,338.64x = 293,019.31 × 75,396.27
  4. Step 4: Simplify right side
    195,338.64x = 22,092,564,305.04
  5. Step 5: Solve for x
    x = 22,092,564,305.04/195,338.64
  6. Step 6: Final answer
    x = 113,098.79

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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.