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Finding the Fourth Proportional to 275,509.98, 413,333.61 and 78,517.98

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Solution

The fourth proportional to 275,509.98, 413,333.61 and 78,517.98 is: 117,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,509.98 : 413,333.61 = 78,517.98 : x
  2. Step 2: Convert to fraction form
    275,509.98/413,333.61 = 78,517.98/x
  3. Step 3: Cross multiply
    275,509.98x = 413,333.61 × 78,517.98
  4. Step 4: Simplify right side
    275,509.98x = 32,454,120,123.31
  5. Step 5: Solve for x
    x = 32,454,120,123.31/275,509.98
  6. Step 6: Final answer
    x = 117,796.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.