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Finding the Fourth Proportional to 256,163.94, 353,504.88 and 148,760.37

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Solution

The fourth proportional to 256,163.94, 353,504.88 and 148,760.37 is: 205,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,163.94 : 353,504.88 = 148,760.37 : x
  2. Step 2: Convert to fraction form
    256,163.94/353,504.88 = 148,760.37/x
  3. Step 3: Cross multiply
    256,163.94x = 353,504.88 × 148,760.37
  4. Step 4: Simplify right side
    256,163.94x = 52,587,516,745.61
  5. Step 5: Solve for x
    x = 52,587,516,745.61/256,163.94
  6. Step 6: Final answer
    x = 205,288.52

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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.