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Finding the Fourth Proportional to 237,663.64, 327,944.64 and 142,135.48

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Solution

The fourth proportional to 237,663.64, 327,944.64 and 142,135.48 is: 196,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,663.64 : 327,944.64 = 142,135.48 : x
  2. Step 2: Convert to fraction form
    237,663.64/327,944.64 = 142,135.48/x
  3. Step 3: Cross multiply
    237,663.64x = 327,944.64 × 142,135.48
  4. Step 4: Simplify right side
    237,663.64x = 46,612,568,819.83
  5. Step 5: Solve for x
    x = 46,612,568,819.83/237,663.64
  6. Step 6: Final answer
    x = 196,128.31

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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.