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Finding the Fourth Proportional to 215,722.46, 297,697.26 and 129,682.38

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Solution

The fourth proportional to 215,722.46, 297,697.26 and 129,682.38 is: 178,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,722.46 : 297,697.26 = 129,682.38 : x
  2. Step 2: Convert to fraction form
    215,722.46/297,697.26 = 129,682.38/x
  3. Step 3: Cross multiply
    215,722.46x = 297,697.26 × 129,682.38
  4. Step 4: Simplify right side
    215,722.46x = 38,606,089,196.28
  5. Step 5: Solve for x
    x = 38,606,089,196.28/215,722.46
  6. Step 6: Final answer
    x = 178,961.85

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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.