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Finding the Fourth Proportional to 198,367.73, 297,595.33 and 65,242.61

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Solution

The fourth proportional to 198,367.73, 297,595.33 and 65,242.61 is: 97,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,367.73 : 297,595.33 = 65,242.61 : x
  2. Step 2: Convert to fraction form
    198,367.73/297,595.33 = 65,242.61/x
  3. Step 3: Cross multiply
    198,367.73x = 297,595.33 × 65,242.61
  4. Step 4: Simplify right side
    198,367.73x = 19,415,896,053.01
  5. Step 5: Solve for x
    x = 19,415,896,053.01/198,367.73
  6. Step 6: Final answer
    x = 97,878.30

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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.