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Finding the Fourth Proportional to 265,882.80, 367,053.71 and 205,317.48

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Solution

The fourth proportional to 265,882.80, 367,053.71 and 205,317.48 is: 283,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,882.80 : 367,053.71 = 205,317.48 : x
  2. Step 2: Convert to fraction form
    265,882.80/367,053.71 = 205,317.48/x
  3. Step 3: Cross multiply
    265,882.80x = 367,053.71 × 205,317.48
  4. Step 4: Simplify right side
    265,882.80x = 75,362,542,761.85
  5. Step 5: Solve for x
    x = 75,362,542,761.85/265,882.80
  6. Step 6: Final answer
    x = 283,442.72

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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.