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Finding the Fourth Proportional to 264,157.71, 396,229.47 and 74,631.16

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Solution

The fourth proportional to 264,157.71, 396,229.47 and 74,631.16 is: 111,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,157.71 : 396,229.47 = 74,631.16 : x
  2. Step 2: Convert to fraction form
    264,157.71/396,229.47 = 74,631.16/x
  3. Step 3: Cross multiply
    264,157.71x = 396,229.47 × 74,631.16
  4. Step 4: Simplify right side
    264,157.71x = 29,571,064,972.29
  5. Step 5: Solve for x
    x = 29,571,064,972.29/264,157.71
  6. Step 6: Final answer
    x = 111,944.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.