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Finding the Fourth Proportional to 213,017.30, 293,958.96 and 117,523.97

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Solution

The fourth proportional to 213,017.30, 293,958.96 and 117,523.97 is: 162,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,017.30 : 293,958.96 = 117,523.97 : x
  2. Step 2: Convert to fraction form
    213,017.30/293,958.96 = 117,523.97/x
  3. Step 3: Cross multiply
    213,017.30x = 293,958.96 × 117,523.97
  4. Step 4: Simplify right side
    213,017.30x = 34,547,223,996.27
  5. Step 5: Solve for x
    x = 34,547,223,996.27/213,017.30
  6. Step 6: Final answer
    x = 162,180.37

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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.