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Finding the Fourth Proportional to 132,947.54, 199,455.15 and 44,201.54

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Solution

The fourth proportional to 132,947.54, 199,455.15 and 44,201.54 is: 66,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,947.54 : 199,455.15 = 44,201.54 : x
  2. Step 2: Convert to fraction form
    132,947.54/199,455.15 = 44,201.54/x
  3. Step 3: Cross multiply
    132,947.54x = 199,455.15 × 44,201.54
  4. Step 4: Simplify right side
    132,947.54x = 8,816,224,790.93
  5. Step 5: Solve for x
    x = 8,816,224,790.93/132,947.54
  6. Step 6: Final answer
    x = 66,313.56

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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.