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Finding the Fourth Proportional to 258,163.74, 356,227.20 and 144,964.62

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Solution

The fourth proportional to 258,163.74, 356,227.20 and 144,964.62 is: 200,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,163.74 : 356,227.20 = 144,964.62 : x
  2. Step 2: Convert to fraction form
    258,163.74/356,227.20 = 144,964.62/x
  3. Step 3: Cross multiply
    258,163.74x = 356,227.20 × 144,964.62
  4. Step 4: Simplify right side
    258,163.74x = 51,640,340,681.66
  5. Step 5: Solve for x
    x = 51,640,340,681.66/258,163.74
  6. Step 6: Final answer
    x = 200,029.41

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1.5x scale

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.