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Finding the Fourth Proportional to 213,436.71, 294,560.15 and 117,945

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Solution

The fourth proportional to 213,436.71, 294,560.15 and 117,945 is: 162,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,436.71 : 294,560.15 = 117,945 : x
  2. Step 2: Convert to fraction form
    213,436.71/294,560.15 = 117,945/x
  3. Step 3: Cross multiply
    213,436.71x = 294,560.15 × 117,945
  4. Step 4: Simplify right side
    213,436.71x = 34,741,896,302.03
  5. Step 5: Solve for x
    x = 34,741,896,302.03/213,436.71
  6. Step 6: Final answer
    x = 162,773.76

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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.