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Finding the Fourth Proportional to 302,696.53, 417,724.10 and 166,731.09

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Solution

The fourth proportional to 302,696.53, 417,724.10 and 166,731.09 is: 230,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,696.53 : 417,724.10 = 166,731.09 : x
  2. Step 2: Convert to fraction form
    302,696.53/417,724.10 = 166,731.09/x
  3. Step 3: Cross multiply
    302,696.53x = 417,724.10 × 166,731.09
  4. Step 4: Simplify right side
    302,696.53x = 69,647,594,512.27
  5. Step 5: Solve for x
    x = 69,647,594,512.27/302,696.53
  6. Step 6: Final answer
    x = 230,090.50

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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.