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Finding the Fourth Proportional to 254,414.40, 381,664.80 and 136,053.60

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Solution

The fourth proportional to 254,414.40, 381,664.80 and 136,053.60 is: 204,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,414.40 : 381,664.80 = 136,053.60 : x
  2. Step 2: Convert to fraction form
    254,414.40/381,664.80 = 136,053.60/x
  3. Step 3: Cross multiply
    254,414.40x = 381,664.80 × 136,053.60
  4. Step 4: Simplify right side
    254,414.40x = 51,926,870,033.28
  5. Step 5: Solve for x
    x = 51,926,870,033.28/254,414.40
  6. Step 6: Final answer
    x = 204,103.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.