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Finding the Fourth Proportional to 198,649.80, 297,974.70 and 105,337.80

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Solution

The fourth proportional to 198,649.80, 297,974.70 and 105,337.80 is: 158,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,649.80 : 297,974.70 = 105,337.80 : x
  2. Step 2: Convert to fraction form
    198,649.80/297,974.70 = 105,337.80/x
  3. Step 3: Cross multiply
    198,649.80x = 297,974.70 × 105,337.80
  4. Step 4: Simplify right side
    198,649.80x = 31,387,999,353.66
  5. Step 5: Solve for x
    x = 31,387,999,353.66/198,649.80
  6. Step 6: Final answer
    x = 158,006.70

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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.