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Finding the Fourth Proportional to 111,809.64, 167,751.36 and 45,213.42

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Solution

The fourth proportional to 111,809.64, 167,751.36 and 45,213.42 is: 67,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,809.64 : 167,751.36 = 45,213.42 : x
  2. Step 2: Convert to fraction form
    111,809.64/167,751.36 = 45,213.42/x
  3. Step 3: Cross multiply
    111,809.64x = 167,751.36 × 45,213.42
  4. Step 4: Simplify right side
    111,809.64x = 7,584,612,695.25
  5. Step 5: Solve for x
    x = 7,584,612,695.25/111,809.64
  6. Step 6: Final answer
    x = 67,835.05

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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.