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Finding the Fourth Proportional to 117,229.76, 161,777.16 and 68,822.22

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Solution

The fourth proportional to 117,229.76, 161,777.16 and 68,822.22 is: 94,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,229.76 : 161,777.16 = 68,822.22 : x
  2. Step 2: Convert to fraction form
    117,229.76/161,777.16 = 68,822.22/x
  3. Step 3: Cross multiply
    117,229.76x = 161,777.16 × 68,822.22
  4. Step 4: Simplify right side
    117,229.76x = 11,133,863,296.50
  5. Step 5: Solve for x
    x = 11,133,863,296.50/117,229.76
  6. Step 6: Final answer
    x = 94,974.72

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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.