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Finding the Fourth Proportional to 131,796, 197,198 and 92,429.92

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Solution

The fourth proportional to 131,796, 197,198 and 92,429.92 is: 138,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,796 : 197,198 = 92,429.92 : x
  2. Step 2: Convert to fraction form
    131,796/197,198 = 92,429.92/x
  3. Step 3: Cross multiply
    131,796x = 197,198 × 92,429.92
  4. Step 4: Simplify right side
    131,796x = 18,226,995,364.16
  5. Step 5: Solve for x
    x = 18,226,995,364.16/131,796
  6. Step 6: Final answer
    x = 138,297.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.