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Finding the Fourth Proportional to 257,025.12, 354,652.35 and 161,464.14

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Solution

The fourth proportional to 257,025.12, 354,652.35 and 161,464.14 is: 222,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,025.12 : 354,652.35 = 161,464.14 : x
  2. Step 2: Convert to fraction form
    257,025.12/354,652.35 = 161,464.14/x
  3. Step 3: Cross multiply
    257,025.12x = 354,652.35 × 161,464.14
  4. Step 4: Simplify right side
    257,025.12x = 57,263,636,691.73
  5. Step 5: Solve for x
    x = 57,263,636,691.73/257,025.12
  6. Step 6: Final answer
    x = 222,793.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.