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Finding the Fourth Proportional to 198,777.61, 274,320.26 and 113,911.07

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Solution

The fourth proportional to 198,777.61, 274,320.26 and 113,911.07 is: 157,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,777.61 : 274,320.26 = 113,911.07 : x
  2. Step 2: Convert to fraction form
    198,777.61/274,320.26 = 113,911.07/x
  3. Step 3: Cross multiply
    198,777.61x = 274,320.26 × 113,911.07
  4. Step 4: Simplify right side
    198,777.61x = 31,248,114,339.28
  5. Step 5: Solve for x
    x = 31,248,114,339.28/198,777.61
  6. Step 6: Final answer
    x = 157,201.38

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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.