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Finding the Fourth Proportional to 99,846.30, 149,769.45 and 92,243.10

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Solution

The fourth proportional to 99,846.30, 149,769.45 and 92,243.10 is: 138,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,846.30 : 149,769.45 = 92,243.10 : x
  2. Step 2: Convert to fraction form
    99,846.30/149,769.45 = 92,243.10/x
  3. Step 3: Cross multiply
    99,846.30x = 149,769.45 × 92,243.10
  4. Step 4: Simplify right side
    99,846.30x = 13,815,198,353.30
  5. Step 5: Solve for x
    x = 13,815,198,353.30/99,846.30
  6. Step 6: Final answer
    x = 138,364.65

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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.