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Finding the Fourth Proportional to 121,524.42, 167,712 and 67,819.80

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Solution

The fourth proportional to 121,524.42, 167,712 and 67,819.80 is: 93,595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,524.42 : 167,712 = 67,819.80 : x
  2. Step 2: Convert to fraction form
    121,524.42/167,712 = 67,819.80/x
  3. Step 3: Cross multiply
    121,524.42x = 167,712 × 67,819.80
  4. Step 4: Simplify right side
    121,524.42x = 11,374,194,297.60
  5. Step 5: Solve for x
    x = 11,374,194,297.60/121,524.42
  6. Step 6: Final answer
    x = 93,595.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.