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Finding the Fourth Proportional to 302,144.31, 416,961.90 and 164,324.52

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Solution

The fourth proportional to 302,144.31, 416,961.90 and 164,324.52 is: 226,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,144.31 : 416,961.90 = 164,324.52 : x
  2. Step 2: Convert to fraction form
    302,144.31/416,961.90 = 164,324.52/x
  3. Step 3: Cross multiply
    302,144.31x = 416,961.90 × 164,324.52
  4. Step 4: Simplify right side
    302,144.31x = 68,517,064,075.79
  5. Step 5: Solve for x
    x = 68,517,064,075.79/302,144.31
  6. Step 6: Final answer
    x = 226,769.33

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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.