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Finding the Fourth Proportional to 209,424.18, 314,137.14 and 65,331.78

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Solution

The fourth proportional to 209,424.18, 314,137.14 and 65,331.78 is: 97,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,424.18 : 314,137.14 = 65,331.78 : x
  2. Step 2: Convert to fraction form
    209,424.18/314,137.14 = 65,331.78/x
  3. Step 3: Cross multiply
    209,424.18x = 314,137.14 × 65,331.78
  4. Step 4: Simplify right side
    209,424.18x = 20,523,138,520.31
  5. Step 5: Solve for x
    x = 20,523,138,520.31/209,424.18
  6. Step 6: Final answer
    x = 97,997.94

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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.