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Finding the Fourth Proportional to 199,888.38, 275,845.50 and 113,847.35

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Solution

The fourth proportional to 199,888.38, 275,845.50 and 113,847.35 is: 157,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,888.38 : 275,845.50 = 113,847.35 : x
  2. Step 2: Convert to fraction form
    199,888.38/275,845.50 = 113,847.35/x
  3. Step 3: Cross multiply
    199,888.38x = 275,845.50 × 113,847.35
  4. Step 4: Simplify right side
    199,888.38x = 31,404,277,805.20
  5. Step 5: Solve for x
    x = 31,404,277,805.20/199,888.38
  6. Step 6: Final answer
    x = 157,109.07

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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.