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Finding the Fourth Proportional to 256,983.07, 354,640.84 and 140,694.60

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Solution

The fourth proportional to 256,983.07, 354,640.84 and 140,694.60 is: 194,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,983.07 : 354,640.84 = 140,694.60 : x
  2. Step 2: Convert to fraction form
    256,983.07/354,640.84 = 140,694.60/x
  3. Step 3: Cross multiply
    256,983.07x = 354,640.84 × 140,694.60
  4. Step 4: Simplify right side
    256,983.07x = 49,896,051,127.46
  5. Step 5: Solve for x
    x = 49,896,051,127.46/256,983.07
  6. Step 6: Final answer
    x = 194,160.85

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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.