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Finding the Fourth Proportional to 217,421.40, 326,132.10 and 77,194.20

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Solution

The fourth proportional to 217,421.40, 326,132.10 and 77,194.20 is: 115,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,421.40 : 326,132.10 = 77,194.20 : x
  2. Step 2: Convert to fraction form
    217,421.40/326,132.10 = 77,194.20/x
  3. Step 3: Cross multiply
    217,421.40x = 326,132.10 × 77,194.20
  4. Step 4: Simplify right side
    217,421.40x = 25,175,506,553.82
  5. Step 5: Solve for x
    x = 25,175,506,553.82/217,421.40
  6. Step 6: Final answer
    x = 115,791.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.