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Finding the Fourth Proportional to 321,144.36, 443,160.36 and 175,921.38

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Solution

The fourth proportional to 321,144.36, 443,160.36 and 175,921.38 is: 242,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,144.36 : 443,160.36 = 175,921.38 : x
  2. Step 2: Convert to fraction form
    321,144.36/443,160.36 = 175,921.38/x
  3. Step 3: Cross multiply
    321,144.36x = 443,160.36 × 175,921.38
  4. Step 4: Simplify right side
    321,144.36x = 77,961,382,092.50
  5. Step 5: Solve for x
    x = 77,961,382,092.50/321,144.36
  6. Step 6: Final answer
    x = 242,761.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.