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Finding the Fourth Proportional to 237,663, 327,974.94 and 142,173.72

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Solution

The fourth proportional to 237,663, 327,974.94 and 142,173.72 is: 196,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,663 : 327,974.94 = 142,173.72 : x
  2. Step 2: Convert to fraction form
    237,663/327,974.94 = 142,173.72/x
  3. Step 3: Cross multiply
    237,663x = 327,974.94 × 142,173.72
  4. Step 4: Simplify right side
    237,663x = 46,629,417,286.58
  5. Step 5: Solve for x
    x = 46,629,417,286.58/237,663
  6. Step 6: Final answer
    x = 196,199.73

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1.5x scale

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.