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Finding the Fourth Proportional to 122,169.60, 183,196.64 and 47,324.80

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Solution

The fourth proportional to 122,169.60, 183,196.64 and 47,324.80 is: 70,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,169.60 : 183,196.64 = 47,324.80 : x
  2. Step 2: Convert to fraction form
    122,169.60/183,196.64 = 47,324.80/x
  3. Step 3: Cross multiply
    122,169.60x = 183,196.64 × 47,324.80
  4. Step 4: Simplify right side
    122,169.60x = 8,669,744,348.67
  5. Step 5: Solve for x
    x = 8,669,744,348.67/122,169.60
  6. Step 6: Final answer
    x = 70,964.83

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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.