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Finding the Fourth Proportional to 132,180.24, 198,467.24 and 53,448.24

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Solution

The fourth proportional to 132,180.24, 198,467.24 and 53,448.24 is: 80,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180.24 : 198,467.24 = 53,448.24 : x
  2. Step 2: Convert to fraction form
    132,180.24/198,467.24 = 53,448.24/x
  3. Step 3: Cross multiply
    132,180.24x = 198,467.24 × 53,448.24
  4. Step 4: Simplify right side
    132,180.24x = 10,607,724,675.66
  5. Step 5: Solve for x
    x = 10,607,724,675.66/132,180.24
  6. Step 6: Final answer
    x = 80,251.97

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1.5x scale

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.