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Finding the Fourth Proportional to 113,298.31, 169,936.39 and 34,413.22

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Solution

The fourth proportional to 113,298.31, 169,936.39 and 34,413.22 is: 51,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,298.31 : 169,936.39 = 34,413.22 : x
  2. Step 2: Convert to fraction form
    113,298.31/169,936.39 = 34,413.22/x
  3. Step 3: Cross multiply
    113,298.31x = 169,936.39 × 34,413.22
  4. Step 4: Simplify right side
    113,298.31x = 5,848,058,375.08
  5. Step 5: Solve for x
    x = 5,848,058,375.08/113,298.31
  6. Step 6: Final answer
    x = 51,616.47

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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.