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Finding the Fourth Proportional to 256,366.24, 353,784.22 and 141,644.88

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Solution

The fourth proportional to 256,366.24, 353,784.22 and 141,644.88 is: 195,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,366.24 : 353,784.22 = 141,644.88 : x
  2. Step 2: Convert to fraction form
    256,366.24/353,784.22 = 141,644.88/x
  3. Step 3: Cross multiply
    256,366.24x = 353,784.22 × 141,644.88
  4. Step 4: Simplify right side
    256,366.24x = 50,111,723,033.68
  5. Step 5: Solve for x
    x = 50,111,723,033.68/256,366.24
  6. Step 6: Final answer
    x = 195,469.28

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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.