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Finding the Fourth Proportional to 202,314.20, 303,592.80 and 83,973.20

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Solution

The fourth proportional to 202,314.20, 303,592.80 and 83,973.20 is: 126,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,314.20 : 303,592.80 = 83,973.20 : x
  2. Step 2: Convert to fraction form
    202,314.20/303,592.80 = 83,973.20/x
  3. Step 3: Cross multiply
    202,314.20x = 303,592.80 × 83,973.20
  4. Step 4: Simplify right side
    202,314.20x = 25,493,658,912.96
  5. Step 5: Solve for x
    x = 25,493,658,912.96/202,314.20
  6. Step 6: Final answer
    x = 126,010.23

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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.