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Finding the Fourth Proportional to 132,022.96, 198,046.10 and 37,253.98

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Solution

The fourth proportional to 132,022.96, 198,046.10 and 37,253.98 is: 55,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,022.96 : 198,046.10 = 37,253.98 : x
  2. Step 2: Convert to fraction form
    132,022.96/198,046.10 = 37,253.98/x
  3. Step 3: Cross multiply
    132,022.96x = 198,046.10 × 37,253.98
  4. Step 4: Simplify right side
    132,022.96x = 7,378,005,448.48
  5. Step 5: Solve for x
    x = 7,378,005,448.48/132,022.96
  6. Step 6: Final answer
    x = 55,884.26

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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.