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Finding the Fourth Proportional to 322,191.52, 483,102.09 and 132,782.65

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Solution

The fourth proportional to 322,191.52, 483,102.09 and 132,782.65 is: 199,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,191.52 : 483,102.09 = 132,782.65 : x
  2. Step 2: Convert to fraction form
    322,191.52/483,102.09 = 132,782.65/x
  3. Step 3: Cross multiply
    322,191.52x = 483,102.09 × 132,782.65
  4. Step 4: Simplify right side
    322,191.52x = 64,147,575,730.74
  5. Step 5: Solve for x
    x = 64,147,575,730.74/322,191.52
  6. Step 6: Final answer
    x = 199,097.65

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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.