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Finding the Fourth Proportional to 262,196.64, 361,728.72 and 161,419.68

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Solution

The fourth proportional to 262,196.64, 361,728.72 and 161,419.68 is: 222,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,196.64 : 361,728.72 = 161,419.68 : x
  2. Step 2: Convert to fraction form
    262,196.64/361,728.72 = 161,419.68/x
  3. Step 3: Cross multiply
    262,196.64x = 361,728.72 × 161,419.68
  4. Step 4: Simplify right side
    262,196.64x = 58,390,134,229.21
  5. Step 5: Solve for x
    x = 58,390,134,229.21/262,196.64
  6. Step 6: Final answer
    x = 222,695.97

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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.