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Finding the Fourth Proportional to 275,786.71, 413,804.82 and 140,781.04

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Solution

The fourth proportional to 275,786.71, 413,804.82 and 140,781.04 is: 211,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,786.71 : 413,804.82 = 140,781.04 : x
  2. Step 2: Convert to fraction form
    275,786.71/413,804.82 = 140,781.04/x
  3. Step 3: Cross multiply
    275,786.71x = 413,804.82 × 140,781.04
  4. Step 4: Simplify right side
    275,786.71x = 58,255,871,618.14
  5. Step 5: Solve for x
    x = 58,255,871,618.14/275,786.71
  6. Step 6: Final answer
    x = 211,235.24

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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.