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Finding the Fourth Proportional to 422,037.66, 633,157.19 and 137,728.74

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Solution

The fourth proportional to 422,037.66, 633,157.19 and 137,728.74 is: 206,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,037.66 : 633,157.19 = 137,728.74 : x
  2. Step 2: Convert to fraction form
    422,037.66/633,157.19 = 137,728.74/x
  3. Step 3: Cross multiply
    422,037.66x = 633,157.19 × 137,728.74
  4. Step 4: Simplify right side
    422,037.66x = 87,203,941,312.00
  5. Step 5: Solve for x
    x = 87,203,941,312.00/422,037.66
  6. Step 6: Final answer
    x = 206,625.97

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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.