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Finding the Fourth Proportional to 195,398.56, 269,654.81 and 109,356.87

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Solution

The fourth proportional to 195,398.56, 269,654.81 and 109,356.87 is: 150,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,398.56 : 269,654.81 = 109,356.87 : x
  2. Step 2: Convert to fraction form
    195,398.56/269,654.81 = 109,356.87/x
  3. Step 3: Cross multiply
    195,398.56x = 269,654.81 × 109,356.87
  4. Step 4: Simplify right side
    195,398.56x = 29,488,605,455.26
  5. Step 5: Solve for x
    x = 29,488,605,455.26/195,398.56
  6. Step 6: Final answer
    x = 150,915.16

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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.