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Finding the Fourth Proportional to 232,251.32, 320,505.50 and 128,884.48

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Solution

The fourth proportional to 232,251.32, 320,505.50 and 128,884.48 is: 177,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,251.32 : 320,505.50 = 128,884.48 : x
  2. Step 2: Convert to fraction form
    232,251.32/320,505.50 = 128,884.48/x
  3. Step 3: Cross multiply
    232,251.32x = 320,505.50 × 128,884.48
  4. Step 4: Simplify right side
    232,251.32x = 41,308,184,704.64
  5. Step 5: Solve for x
    x = 41,308,184,704.64/232,251.32
  6. Step 6: Final answer
    x = 177,859.85

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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.