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Finding the Fourth Proportional to 199,642.56, 275,508 and 110,218.56

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Solution

The fourth proportional to 199,642.56, 275,508 and 110,218.56 is: 152,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,642.56 : 275,508 = 110,218.56 : x
  2. Step 2: Convert to fraction form
    199,642.56/275,508 = 110,218.56/x
  3. Step 3: Cross multiply
    199,642.56x = 275,508 × 110,218.56
  4. Step 4: Simplify right side
    199,642.56x = 30,366,095,028.48
  5. Step 5: Solve for x
    x = 30,366,095,028.48/199,642.56
  6. Step 6: Final answer
    x = 152,102.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.