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Finding the Fourth Proportional to 132,668.42, 199,028.89 and 37,899.42

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Solution

The fourth proportional to 132,668.42, 199,028.89 and 37,899.42 is: 56,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,668.42 : 199,028.89 = 37,899.42 : x
  2. Step 2: Convert to fraction form
    132,668.42/199,028.89 = 37,899.42/x
  3. Step 3: Cross multiply
    132,668.42x = 199,028.89 × 37,899.42
  4. Step 4: Simplify right side
    132,668.42x = 7,543,078,582.08
  5. Step 5: Solve for x
    x = 7,543,078,582.08/132,668.42
  6. Step 6: Final answer
    x = 56,856.63

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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.