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Finding the Fourth Proportional to 265,682.97, 366,635.16 and 144,826.61

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Solution

The fourth proportional to 265,682.97, 366,635.16 and 144,826.61 is: 199,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,682.97 : 366,635.16 = 144,826.61 : x
  2. Step 2: Convert to fraction form
    265,682.97/366,635.16 = 144,826.61/x
  3. Step 3: Cross multiply
    265,682.97x = 366,635.16 × 144,826.61
  4. Step 4: Simplify right side
    265,682.97x = 53,098,525,496.43
  5. Step 5: Solve for x
    x = 53,098,525,496.43/265,682.97
  6. Step 6: Final answer
    x = 199,856.71

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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.