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Finding the Fourth Proportional to 301,933.32, 452,974.12 and 150,202.00

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Solution

The fourth proportional to 301,933.32, 452,974.12 and 150,202.00 is: 225,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,933.32 : 452,974.12 = 150,202.00 : x
  2. Step 2: Convert to fraction form
    301,933.32/452,974.12 = 150,202.00/x
  3. Step 3: Cross multiply
    301,933.32x = 452,974.12 × 150,202.00
  4. Step 4: Simplify right side
    301,933.32x = 68,037,617,259.86
  5. Step 5: Solve for x
    x = 68,037,617,259.86/301,933.32
  6. Step 6: Final answer
    x = 225,339.88

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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.