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Finding the Fourth Proportional to 263,257.40, 363,295.25 and 142,398.65

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Solution

The fourth proportional to 263,257.40, 363,295.25 and 142,398.65 is: 196,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,257.40 : 363,295.25 = 142,398.65 : x
  2. Step 2: Convert to fraction form
    263,257.40/363,295.25 = 142,398.65/x
  3. Step 3: Cross multiply
    263,257.40x = 363,295.25 × 142,398.65
  4. Step 4: Simplify right side
    263,257.40x = 51,732,751,690.93
  5. Step 5: Solve for x
    x = 51,732,751,690.93/263,257.40
  6. Step 6: Final answer
    x = 196,510.16

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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.