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Finding the Fourth Proportional to 106,734.96, 160,098.80 and 50,601.96

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Solution

The fourth proportional to 106,734.96, 160,098.80 and 50,601.96 is: 75,901.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,734.96 : 160,098.80 = 50,601.96 : x
  2. Step 2: Convert to fraction form
    106,734.96/160,098.80 = 50,601.96/x
  3. Step 3: Cross multiply
    106,734.96x = 160,098.80 × 50,601.96
  4. Step 4: Simplify right side
    106,734.96x = 8,101,312,820.64
  5. Step 5: Solve for x
    x = 8,101,312,820.64/106,734.96
  6. Step 6: Final answer
    x = 75,901.21

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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.