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Finding the Fourth Proportional to 265,074.73, 365,806.73 and 144,217.46

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Solution

The fourth proportional to 265,074.73, 365,806.73 and 144,217.46 is: 199,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,074.73 : 365,806.73 = 144,217.46 : x
  2. Step 2: Convert to fraction form
    265,074.73/365,806.73 = 144,217.46/x
  3. Step 3: Cross multiply
    265,074.73x = 365,806.73 × 144,217.46
  4. Step 4: Simplify right side
    265,074.73x = 52,755,718,726.57
  5. Step 5: Solve for x
    x = 52,755,718,726.57/265,074.73
  6. Step 6: Final answer
    x = 199,022.06

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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.