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Finding the Fourth Proportional to 256,568.78, 354,121.13 and 149,200.76

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Solution

The fourth proportional to 256,568.78, 354,121.13 and 149,200.76 is: 205,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,568.78 : 354,121.13 = 149,200.76 : x
  2. Step 2: Convert to fraction form
    256,568.78/354,121.13 = 149,200.76/x
  3. Step 3: Cross multiply
    256,568.78x = 354,121.13 × 149,200.76
  4. Step 4: Simplify right side
    256,568.78x = 52,835,142,986.36
  5. Step 5: Solve for x
    x = 52,835,142,986.36/256,568.78
  6. Step 6: Final answer
    x = 205,929.74

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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.