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Finding the Fourth Proportional to 213,143.92, 294,117.62 and 117,644.42

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Solution

The fourth proportional to 213,143.92, 294,117.62 and 117,644.42 is: 162,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,143.92 : 294,117.62 = 117,644.42 : x
  2. Step 2: Convert to fraction form
    213,143.92/294,117.62 = 117,644.42/x
  3. Step 3: Cross multiply
    213,143.92x = 294,117.62 × 117,644.42
  4. Step 4: Simplify right side
    213,143.92x = 34,601,296,816.68
  5. Step 5: Solve for x
    x = 34,601,296,816.68/213,143.92
  6. Step 6: Final answer
    x = 162,337.71

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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.