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Finding the Fourth Proportional to 213,286.70, 294,349.68 and 117,794.96

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Solution

The fourth proportional to 213,286.70, 294,349.68 and 117,794.96 is: 162,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,286.70 : 294,349.68 = 117,794.96 : x
  2. Step 2: Convert to fraction form
    213,286.70/294,349.68 = 117,794.96/x
  3. Step 3: Cross multiply
    213,286.70x = 294,349.68 × 117,794.96
  4. Step 4: Simplify right side
    213,286.70x = 34,672,908,781.61
  5. Step 5: Solve for x
    x = 34,672,908,781.61/213,286.70
  6. Step 6: Final answer
    x = 162,564.80

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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.