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Finding the Fourth Proportional to 159,053.22, 238,578.62 and 40,724.37

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Solution

The fourth proportional to 159,053.22, 238,578.62 and 40,724.37 is: 61,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,053.22 : 238,578.62 = 40,724.37 : x
  2. Step 2: Convert to fraction form
    159,053.22/238,578.62 = 40,724.37/x
  3. Step 3: Cross multiply
    159,053.22x = 238,578.62 × 40,724.37
  4. Step 4: Simplify right side
    159,053.22x = 9,715,963,791.35
  5. Step 5: Solve for x
    x = 9,715,963,791.35/159,053.22
  6. Step 6: Final answer
    x = 61,086.24

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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.