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Finding the Fourth Proportional to 513,067.82, 769,726.29 and 158,081.82

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Solution

The fourth proportional to 513,067.82, 769,726.29 and 158,081.82 is: 237,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,067.82 : 769,726.29 = 158,081.82 : x
  2. Step 2: Convert to fraction form
    513,067.82/769,726.29 = 158,081.82/x
  3. Step 3: Cross multiply
    513,067.82x = 769,726.29 × 158,081.82
  4. Step 4: Simplify right side
    513,067.82x = 121,679,732,825.05
  5. Step 5: Solve for x
    x = 121,679,732,825.05/513,067.82
  6. Step 6: Final answer
    x = 237,161.11

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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.