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Finding the Fourth Proportional to 263,409.36, 363,506.04 and 142,550.65

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Solution

The fourth proportional to 263,409.36, 363,506.04 and 142,550.65 is: 196,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,409.36 : 363,506.04 = 142,550.65 : x
  2. Step 2: Convert to fraction form
    263,409.36/363,506.04 = 142,550.65/x
  3. Step 3: Cross multiply
    263,409.36x = 363,506.04 × 142,550.65
  4. Step 4: Simplify right side
    263,409.36x = 51,818,021,372.16
  5. Step 5: Solve for x
    x = 51,818,021,372.16/263,409.36
  6. Step 6: Final answer
    x = 196,720.50

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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.