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Finding the Fourth Proportional to 209,201.10, 313,935.12 and 76,068.60

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Solution

The fourth proportional to 209,201.10, 313,935.12 and 76,068.60 is: 114,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,201.10 : 313,935.12 = 76,068.60 : x
  2. Step 2: Convert to fraction form
    209,201.10/313,935.12 = 76,068.60/x
  3. Step 3: Cross multiply
    209,201.10x = 313,935.12 × 76,068.60
  4. Step 4: Simplify right side
    209,201.10x = 23,880,605,069.23
  5. Step 5: Solve for x
    x = 23,880,605,069.23/209,201.10
  6. Step 6: Final answer
    x = 114,151.43

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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.