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Finding the Fourth Proportional to 265,086.60, 365,823.25 and 144,227.97

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Solution

The fourth proportional to 265,086.60, 365,823.25 and 144,227.97 is: 199,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,086.60 : 365,823.25 = 144,227.97 : x
  2. Step 2: Convert to fraction form
    265,086.60/365,823.25 = 144,227.97/x
  3. Step 3: Cross multiply
    265,086.60x = 365,823.25 × 144,227.97
  4. Step 4: Simplify right side
    265,086.60x = 52,761,943,257.76
  5. Step 5: Solve for x
    x = 52,761,943,257.76/265,086.60
  6. Step 6: Final answer
    x = 199,036.63

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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.