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Finding the Fourth Proportional to 297,096.93, 409,991.90 and 161,134.11

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Solution

The fourth proportional to 297,096.93, 409,991.90 and 161,134.11 is: 222,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,096.93 : 409,991.90 = 161,134.11 : x
  2. Step 2: Convert to fraction form
    297,096.93/409,991.90 = 161,134.11/x
  3. Step 3: Cross multiply
    297,096.93x = 409,991.90 × 161,134.11
  4. Step 4: Simplify right side
    297,096.93x = 66,063,679,108.04
  5. Step 5: Solve for x
    x = 66,063,679,108.04/297,096.93
  6. Step 6: Final answer
    x = 222,364.06

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Why These Related Problems?

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