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Finding the Fourth Proportional to 203,715.30, 305,682.30 and 85,398.60

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Solution

The fourth proportional to 203,715.30, 305,682.30 and 85,398.60 is: 128,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,715.30 : 305,682.30 = 85,398.60 : x
  2. Step 2: Convert to fraction form
    203,715.30/305,682.30 = 85,398.60/x
  3. Step 3: Cross multiply
    203,715.30x = 305,682.30 × 85,398.60
  4. Step 4: Simplify right side
    203,715.30x = 26,104,840,464.78
  5. Step 5: Solve for x
    x = 26,104,840,464.78/203,715.30
  6. Step 6: Final answer
    x = 128,143.74

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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.