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Finding the Fourth Proportional to 321,791.24, 482,764.89 and 97,138.25

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Solution

The fourth proportional to 321,791.24, 482,764.89 and 97,138.25 is: 145,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,791.24 : 482,764.89 = 97,138.25 : x
  2. Step 2: Convert to fraction form
    321,791.24/482,764.89 = 97,138.25/x
  3. Step 3: Cross multiply
    321,791.24x = 482,764.89 × 97,138.25
  4. Step 4: Simplify right side
    321,791.24x = 46,894,934,162.22
  5. Step 5: Solve for x
    x = 46,894,934,162.22/321,791.24
  6. Step 6: Final answer
    x = 145,730.92

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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.