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Finding the Fourth Proportional to 265,791.74, 398,833.41 and 107,977.82

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Solution

The fourth proportional to 265,791.74, 398,833.41 and 107,977.82 is: 162,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,791.74 : 398,833.41 = 107,977.82 : x
  2. Step 2: Convert to fraction form
    265,791.74/398,833.41 = 107,977.82/x
  3. Step 3: Cross multiply
    265,791.74x = 398,833.41 × 107,977.82
  4. Step 4: Simplify right side
    265,791.74x = 43,065,162,154.97
  5. Step 5: Solve for x
    x = 43,065,162,154.97/265,791.74
  6. Step 6: Final answer
    x = 162,025.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.