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Finding the Fourth Proportional to 261,831, 361,326.78 and 142,599

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Solution

The fourth proportional to 261,831, 361,326.78 and 142,599 is: 196,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,831 : 361,326.78 = 142,599 : x
  2. Step 2: Convert to fraction form
    261,831/361,326.78 = 142,599/x
  3. Step 3: Cross multiply
    261,831x = 361,326.78 × 142,599
  4. Step 4: Simplify right side
    261,831x = 51,524,837,501.22
  5. Step 5: Solve for x
    x = 51,524,837,501.22/261,831
  6. Step 6: Final answer
    x = 196,786.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.