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Finding the Fourth Proportional to 188,214.60, 282,321.90 and 82,921.80

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Solution

The fourth proportional to 188,214.60, 282,321.90 and 82,921.80 is: 124,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,214.60 : 282,321.90 = 82,921.80 : x
  2. Step 2: Convert to fraction form
    188,214.60/282,321.90 = 82,921.80/x
  3. Step 3: Cross multiply
    188,214.60x = 282,321.90 × 82,921.80
  4. Step 4: Simplify right side
    188,214.60x = 23,410,640,127.42
  5. Step 5: Solve for x
    x = 23,410,640,127.42/188,214.60
  6. Step 6: Final answer
    x = 124,382.70

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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.