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Finding the Fourth Proportional to 275,838.58, 413,757.14 and 73,434.69

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Solution

The fourth proportional to 275,838.58, 413,757.14 and 73,434.69 is: 110,151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,838.58 : 413,757.14 = 73,434.69 : x
  2. Step 2: Convert to fraction form
    275,838.58/413,757.14 = 73,434.69/x
  3. Step 3: Cross multiply
    275,838.58x = 413,757.14 × 73,434.69
  4. Step 4: Simplify right side
    275,838.58x = 30,384,127,311.19
  5. Step 5: Solve for x
    x = 30,384,127,311.19/275,838.58
  6. Step 6: Final answer
    x = 110,151.84

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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.