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Finding the Fourth Proportional to 322,166.92, 483,255.24 and 97,537.72

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Solution

The fourth proportional to 322,166.92, 483,255.24 and 97,537.72 is: 146,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,166.92 : 483,255.24 = 97,537.72 : x
  2. Step 2: Convert to fraction form
    322,166.92/483,255.24 = 97,537.72/x
  3. Step 3: Cross multiply
    322,166.92x = 483,255.24 × 97,537.72
  4. Step 4: Simplify right side
    322,166.92x = 47,135,614,287.65
  5. Step 5: Solve for x
    x = 47,135,614,287.65/322,166.92
  6. Step 6: Final answer
    x = 146,308.05

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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.