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Finding the Fourth Proportional to 200,394.33, 298,823.19 and 198,594.62

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Solution

The fourth proportional to 200,394.33, 298,823.19 and 198,594.62 is: 296,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,394.33 : 298,823.19 = 198,594.62 : x
  2. Step 2: Convert to fraction form
    200,394.33/298,823.19 = 198,594.62/x
  3. Step 3: Cross multiply
    200,394.33x = 298,823.19 × 198,594.62
  4. Step 4: Simplify right side
    200,394.33x = 59,344,676,371.12
  5. Step 5: Solve for x
    x = 59,344,676,371.12/200,394.33
  6. Step 6: Final answer
    x = 296,139.50

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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.