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Finding the Fourth Proportional to 263,257.47, 363,294.27 and 142,398.60

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Solution

The fourth proportional to 263,257.47, 363,294.27 and 142,398.60 is: 196,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,257.47 : 363,294.27 = 142,398.60 : x
  2. Step 2: Convert to fraction form
    263,257.47/363,294.27 = 142,398.60/x
  3. Step 3: Cross multiply
    263,257.47x = 363,294.27 × 142,398.60
  4. Step 4: Simplify right side
    263,257.47x = 51,732,595,436.02
  5. Step 5: Solve for x
    x = 51,732,595,436.02/263,257.47
  6. Step 6: Final answer
    x = 196,509.51

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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.