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Finding the Fourth Proportional to 114,014.30, 171,058.32 and 54,842.24

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Solution

The fourth proportional to 114,014.30, 171,058.32 and 54,842.24 is: 82,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,014.30 : 171,058.32 = 54,842.24 : x
  2. Step 2: Convert to fraction form
    114,014.30/171,058.32 = 54,842.24/x
  3. Step 3: Cross multiply
    114,014.30x = 171,058.32 × 54,842.24
  4. Step 4: Simplify right side
    114,014.30x = 9,381,221,439.44
  5. Step 5: Solve for x
    x = 9,381,221,439.44/114,014.30
  6. Step 6: Final answer
    x = 82,281.09

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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.