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Finding the Fourth Proportional to 198,773.87, 274,302.99 and 113,885.46

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Solution

The fourth proportional to 198,773.87, 274,302.99 and 113,885.46 is: 157,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,773.87 : 274,302.99 = 113,885.46 : x
  2. Step 2: Convert to fraction form
    198,773.87/274,302.99 = 113,885.46/x
  3. Step 3: Cross multiply
    198,773.87x = 274,302.99 × 113,885.46
  4. Step 4: Simplify right side
    198,773.87x = 31,239,122,195.53
  5. Step 5: Solve for x
    x = 31,239,122,195.53/198,773.87
  6. Step 6: Final answer
    x = 157,159.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.