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Finding the Fourth Proportional to 189,546.80, 284,627.40 and 137,322.80

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Solution

The fourth proportional to 189,546.80, 284,627.40 and 137,322.80 is: 206,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,546.80 : 284,627.40 = 137,322.80 : x
  2. Step 2: Convert to fraction form
    189,546.80/284,627.40 = 137,322.80/x
  3. Step 3: Cross multiply
    189,546.80x = 284,627.40 × 137,322.80
  4. Step 4: Simplify right side
    189,546.80x = 39,085,831,524.72
  5. Step 5: Solve for x
    x = 39,085,831,524.72/189,546.80
  6. Step 6: Final answer
    x = 206,206.76

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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.