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Finding the Fourth Proportional to 111,164.34, 166,763.92 and 36,267.18

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Solution

The fourth proportional to 111,164.34, 166,763.92 and 36,267.18 is: 54,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,164.34 : 166,763.92 = 36,267.18 : x
  2. Step 2: Convert to fraction form
    111,164.34/166,763.92 = 36,267.18/x
  3. Step 3: Cross multiply
    111,164.34x = 166,763.92 × 36,267.18
  4. Step 4: Simplify right side
    111,164.34x = 6,048,057,104.15
  5. Step 5: Solve for x
    x = 6,048,057,104.15/111,164.34
  6. Step 6: Final answer
    x = 54,406.45

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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.