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Finding the Fourth Proportional to 213,144.20, 294,117.96 and 117,644.68

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Solution

The fourth proportional to 213,144.20, 294,117.96 and 117,644.68 is: 162,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,144.20 : 294,117.96 = 117,644.68 : x
  2. Step 2: Convert to fraction form
    213,144.20/294,117.96 = 117,644.68/x
  3. Step 3: Cross multiply
    213,144.20x = 294,117.96 × 117,644.68
  4. Step 4: Simplify right side
    213,144.20x = 34,601,413,286.45
  5. Step 5: Solve for x
    x = 34,601,413,286.45/213,144.20
  6. Step 6: Final answer
    x = 162,338.05

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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.