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Finding the Fourth Proportional to 106,568.96, 159,770.82 and 69,049.76

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Solution

The fourth proportional to 106,568.96, 159,770.82 and 69,049.76 is: 103,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,568.96 : 159,770.82 = 69,049.76 : x
  2. Step 2: Convert to fraction form
    106,568.96/159,770.82 = 69,049.76/x
  3. Step 3: Cross multiply
    106,568.96x = 159,770.82 × 69,049.76
  4. Step 4: Simplify right side
    106,568.96x = 11,032,136,776.00
  5. Step 5: Solve for x
    x = 11,032,136,776.00/106,568.96
  6. Step 6: Final answer
    x = 103,521.11

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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.