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Finding the Fourth Proportional to 301,167.78, 451,271.80 and 159,007.31

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Solution

The fourth proportional to 301,167.78, 451,271.80 and 159,007.31 is: 238,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,167.78 : 451,271.80 = 159,007.31 : x
  2. Step 2: Convert to fraction form
    301,167.78/451,271.80 = 159,007.31/x
  3. Step 3: Cross multiply
    301,167.78x = 451,271.80 × 159,007.31
  4. Step 4: Simplify right side
    301,167.78x = 71,755,514,996.86
  5. Step 5: Solve for x
    x = 71,755,514,996.86/301,167.78
  6. Step 6: Final answer
    x = 238,257.61

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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.