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Finding the Fourth Proportional to 215,571.65, 297,498.04 and 120,078.38

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Solution

The fourth proportional to 215,571.65, 297,498.04 and 120,078.38 is: 165,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,571.65 : 297,498.04 = 120,078.38 : x
  2. Step 2: Convert to fraction form
    215,571.65/297,498.04 = 120,078.38/x
  3. Step 3: Cross multiply
    215,571.65x = 297,498.04 × 120,078.38
  4. Step 4: Simplify right side
    215,571.65x = 35,723,083,139.92
  5. Step 5: Solve for x
    x = 35,723,083,139.92/215,571.65
  6. Step 6: Final answer
    x = 165,713.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.