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Finding the Fourth Proportional to 297,147.71, 410,061.42 and 161,181.32

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Solution

The fourth proportional to 297,147.71, 410,061.42 and 161,181.32 is: 222,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,147.71 : 410,061.42 = 161,181.32 : x
  2. Step 2: Convert to fraction form
    297,147.71/410,061.42 = 161,181.32/x
  3. Step 3: Cross multiply
    297,147.71x = 410,061.42 × 161,181.32
  4. Step 4: Simplify right side
    297,147.71x = 66,094,238,100.46
  5. Step 5: Solve for x
    x = 66,094,238,100.46/297,147.71
  6. Step 6: Final answer
    x = 222,428.90

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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.