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Finding the Fourth Proportional to 203,697, 305,553.78 and 97,026.12

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Solution

The fourth proportional to 203,697, 305,553.78 and 97,026.12 is: 145,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,697 : 305,553.78 = 97,026.12 : x
  2. Step 2: Convert to fraction form
    203,697/305,553.78 = 97,026.12/x
  3. Step 3: Cross multiply
    203,697x = 305,553.78 × 97,026.12
  4. Step 4: Simplify right side
    203,697x = 29,646,697,724.73
  5. Step 5: Solve for x
    x = 29,646,697,724.73/203,697
  6. Step 6: Final answer
    x = 145,543.12

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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.