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Finding the Fourth Proportional to 189,600.75, 284,447.90 and 56,480.49

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Solution

The fourth proportional to 189,600.75, 284,447.90 and 56,480.49 is: 84,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,600.75 : 284,447.90 = 56,480.49 : x
  2. Step 2: Convert to fraction form
    189,600.75/284,447.90 = 56,480.49/x
  3. Step 3: Cross multiply
    189,600.75x = 284,447.90 × 56,480.49
  4. Step 4: Simplify right side
    189,600.75x = 16,065,756,912.67
  5. Step 5: Solve for x
    x = 16,065,756,912.67/189,600.75
  6. Step 6: Final answer
    x = 84,734.67

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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.