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Finding the Fourth Proportional to 302,268.24, 417,130.16 and 166,299.30

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Solution

The fourth proportional to 302,268.24, 417,130.16 and 166,299.30 is: 229,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,268.24 : 417,130.16 = 166,299.30 : x
  2. Step 2: Convert to fraction form
    302,268.24/417,130.16 = 166,299.30/x
  3. Step 3: Cross multiply
    302,268.24x = 417,130.16 × 166,299.30
  4. Step 4: Simplify right side
    302,268.24x = 69,368,452,785.39
  5. Step 5: Solve for x
    x = 69,368,452,785.39/302,268.24
  6. Step 6: Final answer
    x = 229,493.03

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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.