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Finding the Fourth Proportional to 262,069.52, 361,665.96 and 142,837.52

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Solution

The fourth proportional to 262,069.52, 361,665.96 and 142,837.52 is: 197,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,069.52 : 361,665.96 = 142,837.52 : x
  2. Step 2: Convert to fraction form
    262,069.52/361,665.96 = 142,837.52/x
  3. Step 3: Cross multiply
    262,069.52x = 361,665.96 × 142,837.52
  4. Step 4: Simplify right side
    262,069.52x = 51,659,468,794.82
  5. Step 5: Solve for x
    x = 51,659,468,794.82/262,069.52
  6. Step 6: Final answer
    x = 197,121.24

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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.