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Finding the Fourth Proportional to 256,760.78, 354,323.24 and 142,036.44

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Solution

The fourth proportional to 256,760.78, 354,323.24 and 142,036.44 is: 196,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,760.78 : 354,323.24 = 142,036.44 : x
  2. Step 2: Convert to fraction form
    256,760.78/354,323.24 = 142,036.44/x
  3. Step 3: Cross multiply
    256,760.78x = 354,323.24 × 142,036.44
  4. Step 4: Simplify right side
    256,760.78x = 50,326,811,618.87
  5. Step 5: Solve for x
    x = 50,326,811,618.87/256,760.78
  6. Step 6: Final answer
    x = 196,006.62

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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.