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Finding the Fourth Proportional to 149,589.30, 223,837.20 and 110,223.30

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Solution

The fourth proportional to 149,589.30, 223,837.20 and 110,223.30 is: 164,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,589.30 : 223,837.20 = 110,223.30 : x
  2. Step 2: Convert to fraction form
    149,589.30/223,837.20 = 110,223.30/x
  3. Step 3: Cross multiply
    149,589.30x = 223,837.20 × 110,223.30
  4. Step 4: Simplify right side
    149,589.30x = 24,672,074,846.76
  5. Step 5: Solve for x
    x = 24,672,074,846.76/149,589.30
  6. Step 6: Final answer
    x = 164,932.08

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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.