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Finding the Fourth Proportional to 109,408.12, 150,991.17 and 61,013.32

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Solution

The fourth proportional to 109,408.12, 150,991.17 and 61,013.32 is: 84,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,408.12 : 150,991.17 = 61,013.32 : x
  2. Step 2: Convert to fraction form
    109,408.12/150,991.17 = 61,013.32/x
  3. Step 3: Cross multiply
    109,408.12x = 150,991.17 × 61,013.32
  4. Step 4: Simplify right side
    109,408.12x = 9,212,472,572.38
  5. Step 5: Solve for x
    x = 9,212,472,572.38/109,408.12
  6. Step 6: Final answer
    x = 84,202.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.