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Finding the Fourth Proportional to 132,198.32, 198,365.81 and 65,636.97

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Solution

The fourth proportional to 132,198.32, 198,365.81 and 65,636.97 is: 98,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,198.32 : 198,365.81 = 65,636.97 : x
  2. Step 2: Convert to fraction form
    132,198.32/198,365.81 = 65,636.97/x
  3. Step 3: Cross multiply
    132,198.32x = 198,365.81 × 65,636.97
  4. Step 4: Simplify right side
    132,198.32x = 13,020,130,391.81
  5. Step 5: Solve for x
    x = 13,020,130,391.81/132,198.32
  6. Step 6: Final answer
    x = 98,489.38

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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.