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Finding the Fourth Proportional to 111,874.08, 154,372.20 and 75,654.33

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Solution

The fourth proportional to 111,874.08, 154,372.20 and 75,654.33 is: 104,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,874.08 : 154,372.20 = 75,654.33 : x
  2. Step 2: Convert to fraction form
    111,874.08/154,372.20 = 75,654.33/x
  3. Step 3: Cross multiply
    111,874.08x = 154,372.20 × 75,654.33
  4. Step 4: Simplify right side
    111,874.08x = 11,678,925,361.63
  5. Step 5: Solve for x
    x = 11,678,925,361.63/111,874.08
  6. Step 6: Final answer
    x = 104,393.49

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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.