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Finding the Fourth Proportional to 215,674.38, 297,626.58 and 120,178.98

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Solution

The fourth proportional to 215,674.38, 297,626.58 and 120,178.98 is: 165,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,674.38 : 297,626.58 = 120,178.98 : x
  2. Step 2: Convert to fraction form
    215,674.38/297,626.58 = 120,178.98/x
  3. Step 3: Cross multiply
    215,674.38x = 297,626.58 × 120,178.98
  4. Step 4: Simplify right side
    215,674.38x = 35,768,458,805.29
  5. Step 5: Solve for x
    x = 35,768,458,805.29/215,674.38
  6. Step 6: Final answer
    x = 165,844.73

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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.