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Finding the Fourth Proportional to 132,597.49, 198,896.78 and 53,713.21

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Solution

The fourth proportional to 132,597.49, 198,896.78 and 53,713.21 is: 80,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,597.49 : 198,896.78 = 53,713.21 : x
  2. Step 2: Convert to fraction form
    132,597.49/198,896.78 = 53,713.21/x
  3. Step 3: Cross multiply
    132,597.49x = 198,896.78 × 53,713.21
  4. Step 4: Simplify right side
    132,597.49x = 10,683,384,512.46
  5. Step 5: Solve for x
    x = 10,683,384,512.46/132,597.49
  6. Step 6: Final answer
    x = 80,570.04

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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.