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Finding the Fourth Proportional to 137,165.43, 205,727.36 and 37,333.41

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Solution

The fourth proportional to 137,165.43, 205,727.36 and 37,333.41 is: 55,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,165.43 : 205,727.36 = 37,333.41 : x
  2. Step 2: Convert to fraction form
    137,165.43/205,727.36 = 37,333.41/x
  3. Step 3: Cross multiply
    137,165.43x = 205,727.36 × 37,333.41
  4. Step 4: Simplify right side
    137,165.43x = 7,680,503,692.43
  5. Step 5: Solve for x
    x = 7,680,503,692.43/137,165.43
  6. Step 6: Final answer
    x = 55,994.46

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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.