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Finding the Fourth Proportional to 275,898.10, 413,628.45 and 151,239.10

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Solution

The fourth proportional to 275,898.10, 413,628.45 and 151,239.10 is: 226,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,898.10 : 413,628.45 = 151,239.10 : x
  2. Step 2: Convert to fraction form
    275,898.10/413,628.45 = 151,239.10/x
  3. Step 3: Cross multiply
    275,898.10x = 413,628.45 × 151,239.10
  4. Step 4: Simplify right side
    275,898.10x = 62,556,794,512.40
  5. Step 5: Solve for x
    x = 62,556,794,512.40/275,898.10
  6. Step 6: Final answer
    x = 226,738.77

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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.