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Finding the Fourth Proportional to 132,464.21, 198,668.49 and 43,696.91

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Solution

The fourth proportional to 132,464.21, 198,668.49 and 43,696.91 is: 65,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,464.21 : 198,668.49 = 43,696.91 : x
  2. Step 2: Convert to fraction form
    132,464.21/198,668.49 = 43,696.91/x
  3. Step 3: Cross multiply
    132,464.21x = 198,668.49 × 43,696.91
  4. Step 4: Simplify right side
    132,464.21x = 8,681,199,624.04
  5. Step 5: Solve for x
    x = 8,681,199,624.04/132,464.21
  6. Step 6: Final answer
    x = 65,536.19

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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.