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Finding the Fourth Proportional to 269,664.32, 404,391.39 and 101,092.70

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Solution

The fourth proportional to 269,664.32, 404,391.39 and 101,092.70 is: 151,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,664.32 : 404,391.39 = 101,092.70 : x
  2. Step 2: Convert to fraction form
    269,664.32/404,391.39 = 101,092.70/x
  3. Step 3: Cross multiply
    269,664.32x = 404,391.39 × 101,092.70
  4. Step 4: Simplify right side
    269,664.32x = 40,881,015,449.90
  5. Step 5: Solve for x
    x = 40,881,015,449.90/269,664.32
  6. Step 6: Final answer
    x = 151,599.65

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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.