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Finding the Fourth Proportional to 121,408.06, 167,569.96 and 78,892.78

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Solution

The fourth proportional to 121,408.06, 167,569.96 and 78,892.78 is: 108,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,408.06 : 167,569.96 = 78,892.78 : x
  2. Step 2: Convert to fraction form
    121,408.06/167,569.96 = 78,892.78/x
  3. Step 3: Cross multiply
    121,408.06x = 167,569.96 × 78,892.78
  4. Step 4: Simplify right side
    121,408.06x = 13,220,059,988.89
  5. Step 5: Solve for x
    x = 13,220,059,988.89/121,408.06
  6. Step 6: Final answer
    x = 108,889.48

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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.