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Finding the Fourth Proportional to 202,451.10, 303,763.05 and 97,215.90

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Solution

The fourth proportional to 202,451.10, 303,763.05 and 97,215.90 is: 145,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,451.10 : 303,763.05 = 97,215.90 : x
  2. Step 2: Convert to fraction form
    202,451.10/303,763.05 = 97,215.90/x
  3. Step 3: Cross multiply
    202,451.10x = 303,763.05 × 97,215.90
  4. Step 4: Simplify right side
    202,451.10x = 29,530,598,292.50
  5. Step 5: Solve for x
    x = 29,530,598,292.50/202,451.10
  6. Step 6: Final answer
    x = 145,865.34

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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.