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Finding the Fourth Proportional to 275,006.88, 413,141.91 and 194,139.84

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Solution

The fourth proportional to 275,006.88, 413,141.91 and 194,139.84 is: 291,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,006.88 : 413,141.91 = 194,139.84 : x
  2. Step 2: Convert to fraction form
    275,006.88/413,141.91 = 194,139.84/x
  3. Step 3: Cross multiply
    275,006.88x = 413,141.91 × 194,139.84
  4. Step 4: Simplify right side
    275,006.88x = 80,207,304,304.69
  5. Step 5: Solve for x
    x = 80,207,304,304.69/275,006.88
  6. Step 6: Final answer
    x = 291,655.63

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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.