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Finding the Fourth Proportional to 106,168.86, 159,269.68 and 38,706.58

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Solution

The fourth proportional to 106,168.86, 159,269.68 and 38,706.58 is: 58,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,168.86 : 159,269.68 = 38,706.58 : x
  2. Step 2: Convert to fraction form
    106,168.86/159,269.68 = 38,706.58/x
  3. Step 3: Cross multiply
    106,168.86x = 159,269.68 × 38,706.58
  4. Step 4: Simplify right side
    106,168.86x = 6,164,784,610.49
  5. Step 5: Solve for x
    x = 6,164,784,610.49/106,168.86
  6. Step 6: Final answer
    x = 58,065.85

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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.