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Finding the Fourth Proportional to 202,380.60, 303,570.90 and 97,404.60

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Solution

The fourth proportional to 202,380.60, 303,570.90 and 97,404.60 is: 146,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,380.60 : 303,570.90 = 97,404.60 : x
  2. Step 2: Convert to fraction form
    202,380.60/303,570.90 = 97,404.60/x
  3. Step 3: Cross multiply
    202,380.60x = 303,570.90 × 97,404.60
  4. Step 4: Simplify right side
    202,380.60x = 29,569,202,086.14
  5. Step 5: Solve for x
    x = 29,569,202,086.14/202,380.60
  6. Step 6: Final answer
    x = 146,106.90

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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.