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Finding the Fourth Proportional to 106,165.88, 159,019.13 and 49,921.70

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Solution

The fourth proportional to 106,165.88, 159,019.13 and 49,921.70 is: 74,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,165.88 : 159,019.13 = 49,921.70 : x
  2. Step 2: Convert to fraction form
    106,165.88/159,019.13 = 49,921.70/x
  3. Step 3: Cross multiply
    106,165.88x = 159,019.13 × 49,921.70
  4. Step 4: Simplify right side
    106,165.88x = 7,938,504,257.42
  5. Step 5: Solve for x
    x = 7,938,504,257.42/106,165.88
  6. Step 6: Final answer
    x = 74,774.54

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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.