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Finding the Fourth Proportional to 215,697.10, 297,684.26 and 129,684.22

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Solution

The fourth proportional to 215,697.10, 297,684.26 and 129,684.22 is: 178,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,697.10 : 297,684.26 = 129,684.22 : x
  2. Step 2: Convert to fraction form
    215,697.10/297,684.26 = 129,684.22/x
  3. Step 3: Cross multiply
    215,697.10x = 297,684.26 × 129,684.22
  4. Step 4: Simplify right side
    215,697.10x = 38,604,951,064.38
  5. Step 5: Solve for x
    x = 38,604,951,064.38/215,697.10
  6. Step 6: Final answer
    x = 178,977.61

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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.