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Finding the Fourth Proportional to 106,199.59, 159,299.41 and 43,871.71

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Solution

The fourth proportional to 106,199.59, 159,299.41 and 43,871.71 is: 65,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,199.59 : 159,299.41 = 43,871.71 : x
  2. Step 2: Convert to fraction form
    106,199.59/159,299.41 = 43,871.71/x
  3. Step 3: Cross multiply
    106,199.59x = 159,299.41 × 43,871.71
  4. Step 4: Simplify right side
    106,199.59x = 6,988,737,518.69
  5. Step 5: Solve for x
    x = 6,988,737,518.69/106,199.59
  6. Step 6: Final answer
    x = 65,807.58

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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.