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Finding the Fourth Proportional to 135,871.80, 203,856.30 and 57,010.20

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Solution

The fourth proportional to 135,871.80, 203,856.30 and 57,010.20 is: 85,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,871.80 : 203,856.30 = 57,010.20 : x
  2. Step 2: Convert to fraction form
    135,871.80/203,856.30 = 57,010.20/x
  3. Step 3: Cross multiply
    135,871.80x = 203,856.30 × 57,010.20
  4. Step 4: Simplify right side
    135,871.80x = 11,621,888,434.26
  5. Step 5: Solve for x
    x = 11,621,888,434.26/135,871.80
  6. Step 6: Final answer
    x = 85,535.69

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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.