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Finding the Fourth Proportional to 275,901.73, 413,848.49 and 76,217.69

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Solution

The fourth proportional to 275,901.73, 413,848.49 and 76,217.69 is: 114,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,901.73 : 413,848.49 = 76,217.69 : x
  2. Step 2: Convert to fraction form
    275,901.73/413,848.49 = 76,217.69/x
  3. Step 3: Cross multiply
    275,901.73x = 413,848.49 × 76,217.69
  4. Step 4: Simplify right side
    275,901.73x = 31,542,575,917.79
  5. Step 5: Solve for x
    x = 31,542,575,917.79/275,901.73
  6. Step 6: Final answer
    x = 114,325.40

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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.