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Finding the Fourth Proportional to 198,472.34, 274,034.73 and 122,094.10

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Solution

The fourth proportional to 198,472.34, 274,034.73 and 122,094.10 is: 168,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,472.34 : 274,034.73 = 122,094.10 : x
  2. Step 2: Convert to fraction form
    198,472.34/274,034.73 = 122,094.10/x
  3. Step 3: Cross multiply
    198,472.34x = 274,034.73 × 122,094.10
  4. Step 4: Simplify right side
    198,472.34x = 33,458,023,728.09
  5. Step 5: Solve for x
    x = 33,458,023,728.09/198,472.34
  6. Step 6: Final answer
    x = 168,577.77

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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.