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Finding the Fourth Proportional to 321,983.20, 482,953.20 and 85,320.80

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Solution

The fourth proportional to 321,983.20, 482,953.20 and 85,320.80 is: 127,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,983.20 : 482,953.20 = 85,320.80 : x
  2. Step 2: Convert to fraction form
    321,983.20/482,953.20 = 85,320.80/x
  3. Step 3: Cross multiply
    321,983.20x = 482,953.20 × 85,320.80
  4. Step 4: Simplify right side
    321,983.20x = 41,205,953,386.56
  5. Step 5: Solve for x
    x = 41,205,953,386.56/321,983.20
  6. Step 6: Final answer
    x = 127,975.48

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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.