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Finding the Fourth Proportional to 193,165.20, 289,747.80 and 180,043.20

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Solution

The fourth proportional to 193,165.20, 289,747.80 and 180,043.20 is: 270,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,165.20 : 289,747.80 = 180,043.20 : x
  2. Step 2: Convert to fraction form
    193,165.20/289,747.80 = 180,043.20/x
  3. Step 3: Cross multiply
    193,165.20x = 289,747.80 × 180,043.20
  4. Step 4: Simplify right side
    193,165.20x = 52,167,121,104.96
  5. Step 5: Solve for x
    x = 52,167,121,104.96/193,165.20
  6. Step 6: Final answer
    x = 270,064.80

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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.