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Finding the Fourth Proportional to 213,202.33, 294,217.31 and 117,706.97

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Solution

The fourth proportional to 213,202.33, 294,217.31 and 117,706.97 is: 162,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,202.33 : 294,217.31 = 117,706.97 : x
  2. Step 2: Convert to fraction form
    213,202.33/294,217.31 = 117,706.97/x
  3. Step 3: Cross multiply
    213,202.33x = 294,217.31 × 117,706.97
  4. Step 4: Simplify right side
    213,202.33x = 34,631,429,111.46
  5. Step 5: Solve for x
    x = 34,631,429,111.46/213,202.33
  6. Step 6: Final answer
    x = 162,434.57

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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.