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Finding the Fourth Proportional to 275,672.10, 413,289.45 and 151,013.10

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Solution

The fourth proportional to 275,672.10, 413,289.45 and 151,013.10 is: 226,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,672.10 : 413,289.45 = 151,013.10 : x
  2. Step 2: Convert to fraction form
    275,672.10/413,289.45 = 151,013.10/x
  3. Step 3: Cross multiply
    275,672.10x = 413,289.45 × 151,013.10
  4. Step 4: Simplify right side
    275,672.10x = 62,412,121,041.80
  5. Step 5: Solve for x
    x = 62,412,121,041.80/275,672.10
  6. Step 6: Final answer
    x = 226,399.85

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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.