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Finding the Fourth Proportional to 111,974.16, 154,524.34 and 61,673.16

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Solution

The fourth proportional to 111,974.16, 154,524.34 and 61,673.16 is: 85,108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,974.16 : 154,524.34 = 61,673.16 : x
  2. Step 2: Convert to fraction form
    111,974.16/154,524.34 = 61,673.16/x
  3. Step 3: Cross multiply
    111,974.16x = 154,524.34 × 61,673.16
  4. Step 4: Simplify right side
    111,974.16x = 9,530,003,611.07
  5. Step 5: Solve for x
    x = 9,530,003,611.07/111,974.16
  6. Step 6: Final answer
    x = 85,108.96

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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.