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Finding the Fourth Proportional to 200,393.83, 298,822.45 and 198,594.11

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Solution

The fourth proportional to 200,393.83, 298,822.45 and 198,594.11 is: 296,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,393.83 : 298,822.45 = 198,594.11 : x
  2. Step 2: Convert to fraction form
    200,393.83/298,822.45 = 198,594.11/x
  3. Step 3: Cross multiply
    200,393.83x = 298,822.45 × 198,594.11
  4. Step 4: Simplify right side
    200,393.83x = 59,344,378,505.77
  5. Step 5: Solve for x
    x = 59,344,378,505.77/200,393.83
  6. Step 6: Final answer
    x = 296,138.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.