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Finding the Fourth Proportional to 201,236.70, 301,509.45 and 106,326.30

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Solution

The fourth proportional to 201,236.70, 301,509.45 and 106,326.30 is: 159,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,236.70 : 301,509.45 = 106,326.30 : x
  2. Step 2: Convert to fraction form
    201,236.70/301,509.45 = 106,326.30/x
  3. Step 3: Cross multiply
    201,236.70x = 301,509.45 × 106,326.30
  4. Step 4: Simplify right side
    201,236.70x = 32,058,384,233.54
  5. Step 5: Solve for x
    x = 32,058,384,233.54/201,236.70
  6. Step 6: Final answer
    x = 159,306.85

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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.