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Finding the Fourth Proportional to 256,839.66, 354,358.40 and 154,896.30

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Solution

The fourth proportional to 256,839.66, 354,358.40 and 154,896.30 is: 213,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,839.66 : 354,358.40 = 154,896.30 : x
  2. Step 2: Convert to fraction form
    256,839.66/354,358.40 = 154,896.30/x
  3. Step 3: Cross multiply
    256,839.66x = 354,358.40 × 154,896.30
  4. Step 4: Simplify right side
    256,839.66x = 54,888,804,259.44
  5. Step 5: Solve for x
    x = 54,888,804,259.44/256,839.66
  6. Step 6: Final answer
    x = 213,708.44

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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.