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Finding the Fourth Proportional to 111,058, 166,604.32 and 36,160.46

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Solution

The fourth proportional to 111,058, 166,604.32 and 36,160.46 is: 54,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,058 : 166,604.32 = 36,160.46 : x
  2. Step 2: Convert to fraction form
    111,058/166,604.32 = 36,160.46/x
  3. Step 3: Cross multiply
    111,058x = 166,604.32 × 36,160.46
  4. Step 4: Simplify right side
    111,058x = 6,024,488,849.19
  5. Step 5: Solve for x
    x = 6,024,488,849.19/111,058
  6. Step 6: Final answer
    x = 54,246.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.