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Finding the Fourth Proportional to 132,197.82, 198,365.06 and 65,636.47

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Solution

The fourth proportional to 132,197.82, 198,365.06 and 65,636.47 is: 98,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,197.82 : 198,365.06 = 65,636.47 : x
  2. Step 2: Convert to fraction form
    132,197.82/198,365.06 = 65,636.47/x
  3. Step 3: Cross multiply
    132,197.82x = 198,365.06 × 65,636.47
  4. Step 4: Simplify right side
    132,197.82x = 13,019,982,309.74
  5. Step 5: Solve for x
    x = 13,019,982,309.74/132,197.82
  6. Step 6: Final answer
    x = 98,488.63

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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.