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Finding the Fourth Proportional to 135,251.88, 202,896.30 and 56,347.68

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Solution

The fourth proportional to 135,251.88, 202,896.30 and 56,347.68 is: 84,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,251.88 : 202,896.30 = 56,347.68 : x
  2. Step 2: Convert to fraction form
    135,251.88/202,896.30 = 56,347.68/x
  3. Step 3: Cross multiply
    135,251.88x = 202,896.30 × 56,347.68
  4. Step 4: Simplify right side
    135,251.88x = 11,432,735,785.58
  5. Step 5: Solve for x
    x = 11,432,735,785.58/135,251.88
  6. Step 6: Final answer
    x = 84,529.22

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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.