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Finding the Fourth Proportional to 202,448.60, 303,759.30 and 97,213.40

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Solution

The fourth proportional to 202,448.60, 303,759.30 and 97,213.40 is: 145,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,448.60 : 303,759.30 = 97,213.40 : x
  2. Step 2: Convert to fraction form
    202,448.60/303,759.30 = 97,213.40/x
  3. Step 3: Cross multiply
    202,448.60x = 303,759.30 × 97,213.40
  4. Step 4: Simplify right side
    202,448.60x = 29,529,474,334.62
  5. Step 5: Solve for x
    x = 29,529,474,334.62/202,448.60
  6. Step 6: Final answer
    x = 145,861.59

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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.