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Finding the Fourth Proportional to 302,784.26, 417,840.28 and 166,815.09

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Solution

The fourth proportional to 302,784.26, 417,840.28 and 166,815.09 is: 230,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,784.26 : 417,840.28 = 166,815.09 : x
  2. Step 2: Convert to fraction form
    302,784.26/417,840.28 = 166,815.09/x
  3. Step 3: Cross multiply
    302,784.26x = 417,840.28 × 166,815.09
  4. Step 4: Simplify right side
    302,784.26x = 69,702,063,496.79
  5. Step 5: Solve for x
    x = 69,702,063,496.79/302,784.26
  6. Step 6: Final answer
    x = 230,203.73

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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.