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Finding the Fourth Proportional to 321,363.20, 482,042.28 and 96,722.66

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Solution

The fourth proportional to 321,363.20, 482,042.28 and 96,722.66 is: 145,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,363.20 : 482,042.28 = 96,722.66 : x
  2. Step 2: Convert to fraction form
    321,363.20/482,042.28 = 96,722.66/x
  3. Step 3: Cross multiply
    321,363.20x = 482,042.28 × 96,722.66
  4. Step 4: Simplify right side
    321,363.20x = 46,624,411,554.06
  5. Step 5: Solve for x
    x = 46,624,411,554.06/321,363.20
  6. Step 6: Final answer
    x = 145,083.23

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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.