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Finding the Fourth Proportional to 214,366.50, 321,563.22 and 72,200.16

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Solution

The fourth proportional to 214,366.50, 321,563.22 and 72,200.16 is: 108,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,366.50 : 321,563.22 = 72,200.16 : x
  2. Step 2: Convert to fraction form
    214,366.50/321,563.22 = 72,200.16/x
  3. Step 3: Cross multiply
    214,366.50x = 321,563.22 × 72,200.16
  4. Step 4: Simplify right side
    214,366.50x = 23,216,915,663.36
  5. Step 5: Solve for x
    x = 23,216,915,663.36/214,366.50
  6. Step 6: Final answer
    x = 108,304.78

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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.