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Finding the Fourth Proportional to 99,697.80, 149,546.70 and 81,983.10

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Solution

The fourth proportional to 99,697.80, 149,546.70 and 81,983.10 is: 122,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,697.80 : 149,546.70 = 81,983.10 : x
  2. Step 2: Convert to fraction form
    99,697.80/149,546.70 = 81,983.10/x
  3. Step 3: Cross multiply
    99,697.80x = 149,546.70 × 81,983.10
  4. Step 4: Simplify right side
    99,697.80x = 12,260,302,060.77
  5. Step 5: Solve for x
    x = 12,260,302,060.77/99,697.80
  6. Step 6: Final answer
    x = 122,974.65

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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.