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Finding the Fourth Proportional to 198,764.03, 274,301.49 and 113,897.49

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Solution

The fourth proportional to 198,764.03, 274,301.49 and 113,897.49 is: 157,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,764.03 : 274,301.49 = 113,897.49 : x
  2. Step 2: Convert to fraction form
    198,764.03/274,301.49 = 113,897.49/x
  3. Step 3: Cross multiply
    198,764.03x = 274,301.49 × 113,897.49
  4. Step 4: Simplify right side
    198,764.03x = 31,242,251,214.26
  5. Step 5: Solve for x
    x = 31,242,251,214.26/198,764.03
  6. Step 6: Final answer
    x = 157,182.63

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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.