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Finding the Fourth Proportional to 213,234.32, 294,267.96 and 117,747.08

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Solution

The fourth proportional to 213,234.32, 294,267.96 and 117,747.08 is: 162,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,234.32 : 294,267.96 = 117,747.08 : x
  2. Step 2: Convert to fraction form
    213,234.32/294,267.96 = 117,747.08/x
  3. Step 3: Cross multiply
    213,234.32x = 294,267.96 × 117,747.08
  4. Step 4: Simplify right side
    213,234.32x = 34,649,193,027.56
  5. Step 5: Solve for x
    x = 34,649,193,027.56/213,234.32
  6. Step 6: Final answer
    x = 162,493.51

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