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Finding the Fourth Proportional to 213,009.36, 293,938.44 and 117,517.68

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Solution

The fourth proportional to 213,009.36, 293,938.44 and 117,517.68 is: 162,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,009.36 : 293,938.44 = 117,517.68 : x
  2. Step 2: Convert to fraction form
    213,009.36/293,938.44 = 117,517.68/x
  3. Step 3: Cross multiply
    213,009.36x = 293,938.44 × 117,517.68
  4. Step 4: Simplify right side
    213,009.36x = 34,542,963,531.62
  5. Step 5: Solve for x
    x = 34,542,963,531.62/213,009.36
  6. Step 6: Final answer
    x = 162,166.41

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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.