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Finding the Fourth Proportional to 227,040.93, 340,589.67 and 77,269.71

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Solution

The fourth proportional to 227,040.93, 340,589.67 and 77,269.71 is: 115,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,040.93 : 340,589.67 = 77,269.71 : x
  2. Step 2: Convert to fraction form
    227,040.93/340,589.67 = 77,269.71/x
  3. Step 3: Cross multiply
    227,040.93x = 340,589.67 × 77,269.71
  4. Step 4: Simplify right side
    227,040.93x = 26,317,265,029.90
  5. Step 5: Solve for x
    x = 26,317,265,029.90/227,040.93
  6. Step 6: Final answer
    x = 115,914.19

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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.