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Finding the Fourth Proportional to 213,409.29, 294,504.21 and 117,915.30

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Solution

The fourth proportional to 213,409.29, 294,504.21 and 117,915.30 is: 162,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,409.29 : 294,504.21 = 117,915.30 : x
  2. Step 2: Convert to fraction form
    213,409.29/294,504.21 = 117,915.30/x
  3. Step 3: Cross multiply
    213,409.29x = 294,504.21 × 117,915.30
  4. Step 4: Simplify right side
    213,409.29x = 34,726,552,273.41
  5. Step 5: Solve for x
    x = 34,726,552,273.41/213,409.29
  6. Step 6: Final answer
    x = 162,722.78

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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.