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Finding the Fourth Proportional to 296,007.88, 444,039.86 and 82,775.78

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Solution

The fourth proportional to 296,007.88, 444,039.86 and 82,775.78 is: 124,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,007.88 : 444,039.86 = 82,775.78 : x
  2. Step 2: Convert to fraction form
    296,007.88/444,039.86 = 82,775.78/x
  3. Step 3: Cross multiply
    296,007.88x = 444,039.86 × 82,775.78
  4. Step 4: Simplify right side
    296,007.88x = 36,755,745,762.59
  5. Step 5: Solve for x
    x = 36,755,745,762.59/296,007.88
  6. Step 6: Final answer
    x = 124,171.51

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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.