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Finding the Fourth Proportional to 237,707, 327,976.94 and 140,933.56

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Solution

The fourth proportional to 237,707, 327,976.94 and 140,933.56 is: 194,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,707 : 327,976.94 = 140,933.56 : x
  2. Step 2: Convert to fraction form
    237,707/327,976.94 = 140,933.56/x
  3. Step 3: Cross multiply
    237,707x = 327,976.94 × 140,933.56
  4. Step 4: Simplify right side
    237,707x = 46,222,955,407.55
  5. Step 5: Solve for x
    x = 46,222,955,407.55/237,707
  6. Step 6: Final answer
    x = 194,453.49

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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.