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Finding the Fourth Proportional to 109,408, 150,983.22 and 59,107

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Solution

The fourth proportional to 109,408, 150,983.22 and 59,107 is: 81,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,408 : 150,983.22 = 59,107 : x
  2. Step 2: Convert to fraction form
    109,408/150,983.22 = 59,107/x
  3. Step 3: Cross multiply
    109,408x = 150,983.22 × 59,107
  4. Step 4: Simplify right side
    109,408x = 8,924,165,184.54
  5. Step 5: Solve for x
    x = 8,924,165,184.54/109,408
  6. Step 6: Final answer
    x = 81,567.76

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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.