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Finding the Fourth Proportional to 199,791.88, 275,530.02 and 156,190.12

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Solution

The fourth proportional to 199,791.88, 275,530.02 and 156,190.12 is: 215,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,791.88 : 275,530.02 = 156,190.12 : x
  2. Step 2: Convert to fraction form
    199,791.88/275,530.02 = 156,190.12/x
  3. Step 3: Cross multiply
    199,791.88x = 275,530.02 × 156,190.12
  4. Step 4: Simplify right side
    199,791.88x = 43,035,066,887.40
  5. Step 5: Solve for x
    x = 43,035,066,887.40/199,791.88
  6. Step 6: Final answer
    x = 215,399.48

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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.