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Finding the Fourth Proportional to 189,751.12, 261,849.24 and 109,204.52

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Solution

The fourth proportional to 189,751.12, 261,849.24 and 109,204.52 is: 150,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,751.12 : 261,849.24 = 109,204.52 : x
  2. Step 2: Convert to fraction form
    189,751.12/261,849.24 = 109,204.52/x
  3. Step 3: Cross multiply
    189,751.12x = 261,849.24 × 109,204.52
  4. Step 4: Simplify right side
    189,751.12x = 28,595,120,566.56
  5. Step 5: Solve for x
    x = 28,595,120,566.56/189,751.12
  6. Step 6: Final answer
    x = 150,698.03

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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.