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Finding the Fourth Proportional to 297,060.81, 409,944.02 and 161,094.71

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Solution

The fourth proportional to 297,060.81, 409,944.02 and 161,094.71 is: 222,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,060.81 : 409,944.02 = 161,094.71 : x
  2. Step 2: Convert to fraction form
    297,060.81/409,944.02 = 161,094.71/x
  3. Step 3: Cross multiply
    297,060.81x = 409,944.02 × 161,094.71
  4. Step 4: Simplify right side
    297,060.81x = 66,039,813,018.13
  5. Step 5: Solve for x
    x = 66,039,813,018.13/297,060.81
  6. Step 6: Final answer
    x = 222,310.76

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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.