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Finding the Fourth Proportional to 214,863.20, 322,166.80 and 131,816.80

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Solution

The fourth proportional to 214,863.20, 322,166.80 and 131,816.80 is: 197,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,863.20 : 322,166.80 = 131,816.80 : x
  2. Step 2: Convert to fraction form
    214,863.20/322,166.80 = 131,816.80/x
  3. Step 3: Cross multiply
    214,863.20x = 322,166.80 × 131,816.80
  4. Step 4: Simplify right side
    214,863.20x = 42,466,996,642.24
  5. Step 5: Solve for x
    x = 42,466,996,642.24/214,863.20
  6. Step 6: Final answer
    x = 197,646.67

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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.