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Finding the Fourth Proportional to 256,901.94, 354,643.65 and 149,432.76

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Solution

The fourth proportional to 256,901.94, 354,643.65 and 149,432.76 is: 206,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,901.94 : 354,643.65 = 149,432.76 : x
  2. Step 2: Convert to fraction form
    256,901.94/354,643.65 = 149,432.76/x
  3. Step 3: Cross multiply
    256,901.94x = 354,643.65 × 149,432.76
  4. Step 4: Simplify right side
    256,901.94x = 52,995,379,435.97
  5. Step 5: Solve for x
    x = 52,995,379,435.97/256,901.94
  6. Step 6: Final answer
    x = 206,286.41

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Double scale
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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.