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Finding the Fourth Proportional to 256,207.87, 353,540.01 and 148,756.92

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Solution

The fourth proportional to 256,207.87, 353,540.01 and 148,756.92 is: 205,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,207.87 : 353,540.01 = 148,756.92 : x
  2. Step 2: Convert to fraction form
    256,207.87/353,540.01 = 148,756.92/x
  3. Step 3: Cross multiply
    256,207.87x = 353,540.01 × 148,756.92
  4. Step 4: Simplify right side
    256,207.87x = 52,591,522,984.37
  5. Step 5: Solve for x
    x = 52,591,522,984.37/256,207.87
  6. Step 6: Final answer
    x = 205,268.96

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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.