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Finding the Fourth Proportional to 137,163.41, 205,724.32 and 37,331.38

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Solution

The fourth proportional to 137,163.41, 205,724.32 and 37,331.38 is: 55,991.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,163.41 : 205,724.32 = 37,331.38 : x
  2. Step 2: Convert to fraction form
    137,163.41/205,724.32 = 37,331.38/x
  3. Step 3: Cross multiply
    137,163.41x = 205,724.32 × 37,331.38
  4. Step 4: Simplify right side
    137,163.41x = 7,679,971,549.88
  5. Step 5: Solve for x
    x = 7,679,971,549.88/137,163.41
  6. Step 6: Final answer
    x = 55,991.40

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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.