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Finding the Fourth Proportional to 143,228.24, 214,842.44 and 54,461.24

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Solution

The fourth proportional to 143,228.24, 214,842.44 and 54,461.24 is: 81,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,228.24 : 214,842.44 = 54,461.24 : x
  2. Step 2: Convert to fraction form
    143,228.24/214,842.44 = 54,461.24/x
  3. Step 3: Cross multiply
    143,228.24x = 214,842.44 × 54,461.24
  4. Step 4: Simplify right side
    143,228.24x = 11,700,585,687.03
  5. Step 5: Solve for x
    x = 11,700,585,687.03/143,228.24
  6. Step 6: Final answer
    x = 81,691.89

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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.