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Finding the Fourth Proportional to 197,891.94, 296,841.15 and 57,658.26

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Solution

The fourth proportional to 197,891.94, 296,841.15 and 57,658.26 is: 86,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,891.94 : 296,841.15 = 57,658.26 : x
  2. Step 2: Convert to fraction form
    197,891.94/296,841.15 = 57,658.26/x
  3. Step 3: Cross multiply
    197,891.94x = 296,841.15 × 57,658.26
  4. Step 4: Simplify right side
    197,891.94x = 17,115,344,205.40
  5. Step 5: Solve for x
    x = 17,115,344,205.40/197,891.94
  6. Step 6: Final answer
    x = 86,488.33

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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.