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Finding the Fourth Proportional to 198,172.93, 297,259.59 and 92,992

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Solution

The fourth proportional to 198,172.93, 297,259.59 and 92,992 is: 139,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,172.93 : 297,259.59 = 92,992 : x
  2. Step 2: Convert to fraction form
    198,172.93/297,259.59 = 92,992/x
  3. Step 3: Cross multiply
    198,172.93x = 297,259.59 × 92,992
  4. Step 4: Simplify right side
    198,172.93x = 27,642,763,793.28
  5. Step 5: Solve for x
    x = 27,642,763,793.28/198,172.93
  6. Step 6: Final answer
    x = 139,488.09

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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.