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Finding the Fourth Proportional to 121,094, 167,110.44 and 68,102

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Solution

The fourth proportional to 121,094, 167,110.44 and 68,102 is: 93,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,094 : 167,110.44 = 68,102 : x
  2. Step 2: Convert to fraction form
    121,094/167,110.44 = 68,102/x
  3. Step 3: Cross multiply
    121,094x = 167,110.44 × 68,102
  4. Step 4: Simplify right side
    121,094x = 11,380,555,184.88
  5. Step 5: Solve for x
    x = 11,380,555,184.88/121,094
  6. Step 6: Final answer
    x = 93,981.16

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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.