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Finding the Fourth Proportional to 256,759.98, 354,318.21 and 140,471.52

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Solution

The fourth proportional to 256,759.98, 354,318.21 and 140,471.52 is: 193,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,759.98 : 354,318.21 = 140,471.52 : x
  2. Step 2: Convert to fraction form
    256,759.98/354,318.21 = 140,471.52/x
  3. Step 3: Cross multiply
    256,759.98x = 354,318.21 × 140,471.52
  4. Step 4: Simplify right side
    256,759.98x = 49,771,617,522.38
  5. Step 5: Solve for x
    x = 49,771,617,522.38/256,759.98
  6. Step 6: Final answer
    x = 193,844.92

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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.