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Finding the Fourth Proportional to 99,176.46, 149,022.30 and 92,697.30

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Solution

The fourth proportional to 99,176.46, 149,022.30 and 92,697.30 is: 139,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,176.46 : 149,022.30 = 92,697.30 : x
  2. Step 2: Convert to fraction form
    99,176.46/149,022.30 = 92,697.30/x
  3. Step 3: Cross multiply
    99,176.46x = 149,022.30 × 92,697.30
  4. Step 4: Simplify right side
    99,176.46x = 13,813,964,849.79
  5. Step 5: Solve for x
    x = 13,813,964,849.79/99,176.46
  6. Step 6: Final answer
    x = 139,286.73

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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.