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Finding the Fourth Proportional to 199,755.63, 275,670.87 and 114,872.70

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Solution

The fourth proportional to 199,755.63, 275,670.87 and 114,872.70 is: 158,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,755.63 : 275,670.87 = 114,872.70 : x
  2. Step 2: Convert to fraction form
    199,755.63/275,670.87 = 114,872.70/x
  3. Step 3: Cross multiply
    199,755.63x = 275,670.87 × 114,872.70
  4. Step 4: Simplify right side
    199,755.63x = 31,667,055,769.89
  5. Step 5: Solve for x
    x = 31,667,055,769.89/199,755.63
  6. Step 6: Final answer
    x = 158,528.98

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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.