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Finding the Fourth Proportional to 106,705.20, 159,712.20 and 75,601.20

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Solution

The fourth proportional to 106,705.20, 159,712.20 and 75,601.20 is: 113,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,705.20 : 159,712.20 = 75,601.20 : x
  2. Step 2: Convert to fraction form
    106,705.20/159,712.20 = 75,601.20/x
  3. Step 3: Cross multiply
    106,705.20x = 159,712.20 × 75,601.20
  4. Step 4: Simplify right side
    106,705.20x = 12,074,433,974.64
  5. Step 5: Solve for x
    x = 12,074,433,974.64/106,705.20
  6. Step 6: Final answer
    x = 113,156.94

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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.