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Finding the Fourth Proportional to 121,524.72, 167,657.36 and 76,123.68

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Solution

The fourth proportional to 121,524.72, 167,657.36 and 76,123.68 is: 105,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,524.72 : 167,657.36 = 76,123.68 : x
  2. Step 2: Convert to fraction form
    121,524.72/167,657.36 = 76,123.68/x
  3. Step 3: Cross multiply
    121,524.72x = 167,657.36 × 76,123.68
  4. Step 4: Simplify right side
    121,524.72x = 12,762,695,222.28
  5. Step 5: Solve for x
    x = 12,762,695,222.28/121,524.72
  6. Step 6: Final answer
    x = 105,021.39

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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.