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Finding the Fourth Proportional to 132,107.86, 198,198.51 and 53,203.60

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Solution

The fourth proportional to 132,107.86, 198,198.51 and 53,203.60 is: 79,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,107.86 : 198,198.51 = 53,203.60 : x
  2. Step 2: Convert to fraction form
    132,107.86/198,198.51 = 53,203.60/x
  3. Step 3: Cross multiply
    132,107.86x = 198,198.51 × 53,203.60
  4. Step 4: Simplify right side
    132,107.86x = 10,544,874,246.64
  5. Step 5: Solve for x
    x = 10,544,874,246.64/132,107.86
  6. Step 6: Final answer
    x = 79,820.19

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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.