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Finding the Fourth Proportional to 202,113.20, 303,291.30 and 83,772.20

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Solution

The fourth proportional to 202,113.20, 303,291.30 and 83,772.20 is: 125,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,113.20 : 303,291.30 = 83,772.20 : x
  2. Step 2: Convert to fraction form
    202,113.20/303,291.30 = 83,772.20/x
  3. Step 3: Cross multiply
    202,113.20x = 303,291.30 × 83,772.20
  4. Step 4: Simplify right side
    202,113.20x = 25,407,379,441.86
  5. Step 5: Solve for x
    x = 25,407,379,441.86/202,113.20
  6. Step 6: Final answer
    x = 125,708.66

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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.