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Finding the Fourth Proportional to 263,290.26, 363,340.16 and 142,431.16

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Solution

The fourth proportional to 263,290.26, 363,340.16 and 142,431.16 is: 196,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,290.26 : 363,340.16 = 142,431.16 : x
  2. Step 2: Convert to fraction form
    263,290.26/363,340.16 = 142,431.16/x
  3. Step 3: Cross multiply
    263,290.26x = 363,340.16 × 142,431.16
  4. Step 4: Simplify right side
    263,290.26x = 51,750,960,463.39
  5. Step 5: Solve for x
    x = 51,750,960,463.39/263,290.26
  6. Step 6: Final answer
    x = 196,554.79

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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.