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Finding the Fourth Proportional to 132,145.60, 198,218.40 and 33,649.60

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Solution

The fourth proportional to 132,145.60, 198,218.40 and 33,649.60 is: 50,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,145.60 : 198,218.40 = 33,649.60 : x
  2. Step 2: Convert to fraction form
    132,145.60/198,218.40 = 33,649.60/x
  3. Step 3: Cross multiply
    132,145.60x = 198,218.40 × 33,649.60
  4. Step 4: Simplify right side
    132,145.60x = 6,669,969,872.64
  5. Step 5: Solve for x
    x = 6,669,969,872.64/132,145.60
  6. Step 6: Final answer
    x = 50,474.40

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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.