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Finding the Fourth Proportional to 256,846.97, 354,536.33 and 149,507.21

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Solution

The fourth proportional to 256,846.97, 354,536.33 and 149,507.21 is: 206,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,846.97 : 354,536.33 = 149,507.21 : x
  2. Step 2: Convert to fraction form
    256,846.97/354,536.33 = 149,507.21/x
  3. Step 3: Cross multiply
    256,846.97x = 354,536.33 × 149,507.21
  4. Step 4: Simplify right side
    256,846.97x = 53,005,736,794.40
  5. Step 5: Solve for x
    x = 53,005,736,794.40/256,846.97
  6. Step 6: Final answer
    x = 206,370.89

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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.