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Finding the Fourth Proportional to 202,398.60, 303,684.30 and 97,163.40

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Solution

The fourth proportional to 202,398.60, 303,684.30 and 97,163.40 is: 145,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,398.60 : 303,684.30 = 97,163.40 : x
  2. Step 2: Convert to fraction form
    202,398.60/303,684.30 = 97,163.40/x
  3. Step 3: Cross multiply
    202,398.60x = 303,684.30 × 97,163.40
  4. Step 4: Simplify right side
    202,398.60x = 29,506,999,114.62
  5. Step 5: Solve for x
    x = 29,506,999,114.62/202,398.60
  6. Step 6: Final answer
    x = 145,786.58

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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.