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Finding the Fourth Proportional to 121,114, 167,137.32 and 68,122

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Solution

The fourth proportional to 121,114, 167,137.32 and 68,122 is: 94,008.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,114 : 167,137.32 = 68,122 : x
  2. Step 2: Convert to fraction form
    121,114/167,137.32 = 68,122/x
  3. Step 3: Cross multiply
    121,114x = 167,137.32 × 68,122
  4. Step 4: Simplify right side
    121,114x = 11,385,728,513.04
  5. Step 5: Solve for x
    x = 11,385,728,513.04/121,114
  6. Step 6: Final answer
    x = 94,008.36

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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.