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Finding the Fourth Proportional to 201,224.30, 301,727.10 and 82,907.60

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Solution

The fourth proportional to 201,224.30, 301,727.10 and 82,907.60 is: 124,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,224.30 : 301,727.10 = 82,907.60 : x
  2. Step 2: Convert to fraction form
    201,224.30/301,727.10 = 82,907.60/x
  3. Step 3: Cross multiply
    201,224.30x = 301,727.10 × 82,907.60
  4. Step 4: Simplify right side
    201,224.30x = 25,015,469,715.96
  5. Step 5: Solve for x
    x = 25,015,469,715.96/201,224.30
  6. Step 6: Final answer
    x = 124,316.35

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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.