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Finding the Fourth Proportional to 202,344.20, 303,321.90 and 157,340.60

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Solution

The fourth proportional to 202,344.20, 303,321.90 and 157,340.60 is: 235,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,344.20 : 303,321.90 = 157,340.60 : x
  2. Step 2: Convert to fraction form
    202,344.20/303,321.90 = 157,340.60/x
  3. Step 3: Cross multiply
    202,344.20x = 303,321.90 × 157,340.60
  4. Step 4: Simplify right side
    202,344.20x = 47,724,849,739.14
  5. Step 5: Solve for x
    x = 47,724,849,739.14/202,344.20
  6. Step 6: Final answer
    x = 235,859.74

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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.