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Finding the Fourth Proportional to 198,740.61, 274,261.84 and 113,858.01

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Solution

The fourth proportional to 198,740.61, 274,261.84 and 113,858.01 is: 157,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,740.61 : 274,261.84 = 113,858.01 : x
  2. Step 2: Convert to fraction form
    198,740.61/274,261.84 = 113,858.01/x
  3. Step 3: Cross multiply
    198,740.61x = 274,261.84 × 113,858.01
  4. Step 4: Simplify right side
    198,740.61x = 31,226,907,321.34
  5. Step 5: Solve for x
    x = 31,226,907,321.34/198,740.61
  6. Step 6: Final answer
    x = 157,123.94

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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.