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Finding the Fourth Proportional to 201,202.56, 301,523.13 and 151,224.12

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Solution

The fourth proportional to 201,202.56, 301,523.13 and 151,224.12 is: 226,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,202.56 : 301,523.13 = 151,224.12 : x
  2. Step 2: Convert to fraction form
    201,202.56/301,523.13 = 151,224.12/x
  3. Step 3: Cross multiply
    201,202.56x = 301,523.13 × 151,224.12
  4. Step 4: Simplify right side
    201,202.56x = 45,597,569,993.90
  5. Step 5: Solve for x
    x = 45,597,569,993.90/201,202.56
  6. Step 6: Final answer
    x = 226,625.20

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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.