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Finding the Fourth Proportional to 202,113.90, 303,207.30 and 83,797.20

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Solution

The fourth proportional to 202,113.90, 303,207.30 and 83,797.20 is: 125,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,113.90 : 303,207.30 = 83,797.20 : x
  2. Step 2: Convert to fraction form
    202,113.90/303,207.30 = 83,797.20/x
  3. Step 3: Cross multiply
    202,113.90x = 303,207.30 × 83,797.20
  4. Step 4: Simplify right side
    202,113.90x = 25,407,922,759.56
  5. Step 5: Solve for x
    x = 25,407,922,759.56/202,113.90
  6. Step 6: Final answer
    x = 125,710.91

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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.