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Finding the Fourth Proportional to 243,896.28, 365,833.44 and 101,682.96

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Solution

The fourth proportional to 243,896.28, 365,833.44 and 101,682.96 is: 152,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,896.28 : 365,833.44 = 101,682.96 : x
  2. Step 2: Convert to fraction form
    243,896.28/365,833.44 = 101,682.96/x
  3. Step 3: Cross multiply
    243,896.28x = 365,833.44 × 101,682.96
  4. Step 4: Simplify right side
    243,896.28x = 37,199,027,046.18
  5. Step 5: Solve for x
    x = 37,199,027,046.18/243,896.28
  6. Step 6: Final answer
    x = 152,519.86

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Why These Related Problems?

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