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Finding the Fourth Proportional to 159,150.67, 238,726.07 and 40,822

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Solution

The fourth proportional to 159,150.67, 238,726.07 and 40,822 is: 61,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,150.67 : 238,726.07 = 40,822 : x
  2. Step 2: Convert to fraction form
    159,150.67/238,726.07 = 40,822/x
  3. Step 3: Cross multiply
    159,150.67x = 238,726.07 × 40,822
  4. Step 4: Simplify right side
    159,150.67x = 9,745,275,629.54
  5. Step 5: Solve for x
    x = 9,745,275,629.54/159,150.67
  6. Step 6: Final answer
    x = 61,233.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.