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Finding the Fourth Proportional to 202,396.20, 303,594.30 and 97,189.80

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Solution

The fourth proportional to 202,396.20, 303,594.30 and 97,189.80 is: 145,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,396.20 : 303,594.30 = 97,189.80 : x
  2. Step 2: Convert to fraction form
    202,396.20/303,594.30 = 97,189.80/x
  3. Step 3: Cross multiply
    202,396.20x = 303,594.30 × 97,189.80
  4. Step 4: Simplify right side
    202,396.20x = 29,506,269,298.14
  5. Step 5: Solve for x
    x = 29,506,269,298.14/202,396.20
  6. Step 6: Final answer
    x = 145,784.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.