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Finding the Fourth Proportional to 213,396.67, 294,493.34 and 117,909.52

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Solution

The fourth proportional to 213,396.67, 294,493.34 and 117,909.52 is: 162,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,396.67 : 294,493.34 = 117,909.52 : x
  2. Step 2: Convert to fraction form
    213,396.67/294,493.34 = 117,909.52/x
  3. Step 3: Cross multiply
    213,396.67x = 294,493.34 × 117,909.52
  4. Step 4: Simplify right side
    213,396.67x = 34,723,567,921.14
  5. Step 5: Solve for x
    x = 34,723,567,921.14/213,396.67
  6. Step 6: Final answer
    x = 162,718.42

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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.