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Finding the Fourth Proportional to 198,885.54, 274,271.25 and 133,621.82

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Solution

The fourth proportional to 198,885.54, 274,271.25 and 133,621.82 is: 184,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,885.54 : 274,271.25 = 133,621.82 : x
  2. Step 2: Convert to fraction form
    198,885.54/274,271.25 = 133,621.82/x
  3. Step 3: Cross multiply
    198,885.54x = 274,271.25 × 133,621.82
  4. Step 4: Simplify right side
    198,885.54x = 36,648,622,227.32
  5. Step 5: Solve for x
    x = 36,648,622,227.32/198,885.54
  6. Step 6: Final answer
    x = 184,269.92

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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.