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Finding the Fourth Proportional to 263,605.72, 363,776.24 and 142,747.20

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Solution

The fourth proportional to 263,605.72, 363,776.24 and 142,747.20 is: 196,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,605.72 : 363,776.24 = 142,747.20 : x
  2. Step 2: Convert to fraction form
    263,605.72/363,776.24 = 142,747.20/x
  3. Step 3: Cross multiply
    263,605.72x = 363,776.24 × 142,747.20
  4. Step 4: Simplify right side
    263,605.72x = 51,928,039,130.36
  5. Step 5: Solve for x
    x = 51,928,039,130.36/263,605.72
  6. Step 6: Final answer
    x = 196,991.32

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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.