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Finding the Fourth Proportional to 214,052.28, 320,903.28 and 80,856.96

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Solution

The fourth proportional to 214,052.28, 320,903.28 and 80,856.96 is: 121,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,052.28 : 320,903.28 = 80,856.96 : x
  2. Step 2: Convert to fraction form
    214,052.28/320,903.28 = 80,856.96/x
  3. Step 3: Cross multiply
    214,052.28x = 320,903.28 × 80,856.96
  4. Step 4: Simplify right side
    214,052.28x = 25,947,263,674.83
  5. Step 5: Solve for x
    x = 25,947,263,674.83/214,052.28
  6. Step 6: Final answer
    x = 121,219.28

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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.