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Finding the Fourth Proportional to 321,744.88, 482,751.17 and 141,738.17

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Solution

The fourth proportional to 321,744.88, 482,751.17 and 141,738.17 is: 212,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,744.88 : 482,751.17 = 141,738.17 : x
  2. Step 2: Convert to fraction form
    321,744.88/482,751.17 = 141,738.17/x
  3. Step 3: Cross multiply
    321,744.88x = 482,751.17 × 141,738.17
  4. Step 4: Simplify right side
    321,744.88x = 68,424,266,692.47
  5. Step 5: Solve for x
    x = 68,424,266,692.47/321,744.88
  6. Step 6: Final answer
    x = 212,666.22

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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.