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Finding the Fourth Proportional to 205,130.43, 307,629.14 and 68,317.11

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Solution

The fourth proportional to 205,130.43, 307,629.14 and 68,317.11 is: 102,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,130.43 : 307,629.14 = 68,317.11 : x
  2. Step 2: Convert to fraction form
    205,130.43/307,629.14 = 68,317.11/x
  3. Step 3: Cross multiply
    205,130.43x = 307,629.14 × 68,317.11
  4. Step 4: Simplify right side
    205,130.43x = 21,016,333,455.00
  5. Step 5: Solve for x
    x = 21,016,333,455.00/205,130.43
  6. Step 6: Final answer
    x = 102,453.51

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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.