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Finding the Fourth Proportional to 198,878.56, 274,464.66 and 114,008.38

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Solution

The fourth proportional to 198,878.56, 274,464.66 and 114,008.38 is: 157,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,878.56 : 274,464.66 = 114,008.38 : x
  2. Step 2: Convert to fraction form
    198,878.56/274,464.66 = 114,008.38/x
  3. Step 3: Cross multiply
    198,878.56x = 274,464.66 × 114,008.38
  4. Step 4: Simplify right side
    198,878.56x = 31,291,271,253.85
  5. Step 5: Solve for x
    x = 31,291,271,253.85/198,878.56
  6. Step 6: Final answer
    x = 157,338.59

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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.