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Finding the Fourth Proportional to 195,184, 269,354.24 and 105,760

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Solution

The fourth proportional to 195,184, 269,354.24 and 105,760 is: 145,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,184 : 269,354.24 = 105,760 : x
  2. Step 2: Convert to fraction form
    195,184/269,354.24 = 105,760/x
  3. Step 3: Cross multiply
    195,184x = 269,354.24 × 105,760
  4. Step 4: Simplify right side
    195,184x = 28,486,904,422.40
  5. Step 5: Solve for x
    x = 28,486,904,422.40/195,184
  6. Step 6: Final answer
    x = 145,948.97

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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.