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Finding the Fourth Proportional to 102,363.54, 141,257.22 and 57,046.44

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Solution

The fourth proportional to 102,363.54, 141,257.22 and 57,046.44 is: 78,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,363.54 : 141,257.22 = 57,046.44 : x
  2. Step 2: Convert to fraction form
    102,363.54/141,257.22 = 57,046.44/x
  3. Step 3: Cross multiply
    102,363.54x = 141,257.22 × 57,046.44
  4. Step 4: Simplify right side
    102,363.54x = 8,058,221,525.30
  5. Step 5: Solve for x
    x = 8,058,221,525.30/102,363.54
  6. Step 6: Final answer
    x = 78,721.60

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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.