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Finding the Fourth Proportional to 201,229.20, 301,498.20 and 106,318.80

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Solution

The fourth proportional to 201,229.20, 301,498.20 and 106,318.80 is: 159,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,229.20 : 301,498.20 = 106,318.80 : x
  2. Step 2: Convert to fraction form
    201,229.20/301,498.20 = 106,318.80/x
  3. Step 3: Cross multiply
    201,229.20x = 301,498.20 × 106,318.80
  4. Step 4: Simplify right side
    201,229.20x = 32,054,926,826.16
  5. Step 5: Solve for x
    x = 32,054,926,826.16/201,229.20
  6. Step 6: Final answer
    x = 159,295.60

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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.