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Finding the Fourth Proportional to 141,198.38, 194,855.12 and 77,537.51

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Solution

The fourth proportional to 141,198.38, 194,855.12 and 77,537.51 is: 107,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,198.38 : 194,855.12 = 77,537.51 : x
  2. Step 2: Convert to fraction form
    141,198.38/194,855.12 = 77,537.51/x
  3. Step 3: Cross multiply
    141,198.38x = 194,855.12 × 77,537.51
  4. Step 4: Simplify right side
    141,198.38x = 15,108,580,815.55
  5. Step 5: Solve for x
    x = 15,108,580,815.55/141,198.38
  6. Step 6: Final answer
    x = 107,002.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.