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Finding the Fourth Proportional to 132,225.30, 198,534.51 and 53,493.30

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Solution

The fourth proportional to 132,225.30, 198,534.51 and 53,493.30 is: 80,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,225.30 : 198,534.51 = 53,493.30 : x
  2. Step 2: Convert to fraction form
    132,225.30/198,534.51 = 53,493.30/x
  3. Step 3: Cross multiply
    132,225.30x = 198,534.51 × 53,493.30
  4. Step 4: Simplify right side
    132,225.30x = 10,620,266,103.78
  5. Step 5: Solve for x
    x = 10,620,266,103.78/132,225.30
  6. Step 6: Final answer
    x = 80,319.47

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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.