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Finding the Fourth Proportional to 201,099.30, 301,758.30 and 82,782.60

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Solution

The fourth proportional to 201,099.30, 301,758.30 and 82,782.60 is: 124,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,099.30 : 301,758.30 = 82,782.60 : x
  2. Step 2: Convert to fraction form
    201,099.30/301,758.30 = 82,782.60/x
  3. Step 3: Cross multiply
    201,099.30x = 301,758.30 × 82,782.60
  4. Step 4: Simplify right side
    201,099.30x = 24,980,336,645.58
  5. Step 5: Solve for x
    x = 24,980,336,645.58/201,099.30
  6. Step 6: Final answer
    x = 124,218.91

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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.