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Finding the Fourth Proportional to 202,182.20, 302,738.70 and 162,014.30

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Solution

The fourth proportional to 202,182.20, 302,738.70 and 162,014.30 is: 242,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,182.20 : 302,738.70 = 162,014.30 : x
  2. Step 2: Convert to fraction form
    202,182.20/302,738.70 = 162,014.30/x
  3. Step 3: Cross multiply
    202,182.20x = 302,738.70 × 162,014.30
  4. Step 4: Simplify right side
    202,182.20x = 49,047,998,563.41
  5. Step 5: Solve for x
    x = 49,047,998,563.41/202,182.20
  6. Step 6: Final answer
    x = 242,593.06

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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.