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Finding the Fourth Proportional to 132,415.20, 198,549.90 and 53,440.20

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Solution

The fourth proportional to 132,415.20, 198,549.90 and 53,440.20 is: 80,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,415.20 : 198,549.90 = 53,440.20 : x
  2. Step 2: Convert to fraction form
    132,415.20/198,549.90 = 53,440.20/x
  3. Step 3: Cross multiply
    132,415.20x = 198,549.90 × 53,440.20
  4. Step 4: Simplify right side
    132,415.20x = 10,610,546,365.98
  5. Step 5: Solve for x
    x = 10,610,546,365.98/132,415.20
  6. Step 6: Final answer
    x = 80,130.88

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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.