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Finding the Fourth Proportional to 138,578.36, 191,311.62 and 106,677.32

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Solution

The fourth proportional to 138,578.36, 191,311.62 and 106,677.32 is: 147,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,578.36 : 191,311.62 = 106,677.32 : x
  2. Step 2: Convert to fraction form
    138,578.36/191,311.62 = 106,677.32/x
  3. Step 3: Cross multiply
    138,578.36x = 191,311.62 × 106,677.32
  4. Step 4: Simplify right side
    138,578.36x = 20,408,610,906.46
  5. Step 5: Solve for x
    x = 20,408,610,906.46/138,578.36
  6. Step 6: Final answer
    x = 147,271.27

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