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Finding the Fourth Proportional to 223,129.24, 334,693.88 and 56,917.24

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Solution

The fourth proportional to 223,129.24, 334,693.88 and 56,917.24 is: 85,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,129.24 : 334,693.88 = 56,917.24 : x
  2. Step 2: Convert to fraction form
    223,129.24/334,693.88 = 56,917.24/x
  3. Step 3: Cross multiply
    223,129.24x = 334,693.88 × 56,917.24
  4. Step 4: Simplify right side
    223,129.24x = 19,049,850,078.73
  5. Step 5: Solve for x
    x = 19,049,850,078.73/223,129.24
  6. Step 6: Final answer
    x = 85,375.86

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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.