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Finding the Fourth Proportional to 231,296.80, 346,945.20 and 73,541.20

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Solution

The fourth proportional to 231,296.80, 346,945.20 and 73,541.20 is: 110,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,296.80 : 346,945.20 = 73,541.20 : x
  2. Step 2: Convert to fraction form
    231,296.80/346,945.20 = 73,541.20/x
  3. Step 3: Cross multiply
    231,296.80x = 346,945.20 × 73,541.20
  4. Step 4: Simplify right side
    231,296.80x = 25,514,766,342.24
  5. Step 5: Solve for x
    x = 25,514,766,342.24/231,296.80
  6. Step 6: Final answer
    x = 110,311.80

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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.