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Finding the Fourth Proportional to 256,382.63, 353,805.96 and 141,660.81

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Solution

The fourth proportional to 256,382.63, 353,805.96 and 141,660.81 is: 195,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,382.63 : 353,805.96 = 141,660.81 : x
  2. Step 2: Convert to fraction form
    256,382.63/353,805.96 = 141,660.81/x
  3. Step 3: Cross multiply
    256,382.63x = 353,805.96 × 141,660.81
  4. Step 4: Simplify right side
    256,382.63x = 50,120,438,876.43
  5. Step 5: Solve for x
    x = 50,120,438,876.43/256,382.63
  6. Step 6: Final answer
    x = 195,490.78

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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.