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Finding the Fourth Proportional to 302,893.24, 417,995.52 and 166,932.16

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Solution

The fourth proportional to 302,893.24, 417,995.52 and 166,932.16 is: 230,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,893.24 : 417,995.52 = 166,932.16 : x
  2. Step 2: Convert to fraction form
    302,893.24/417,995.52 = 166,932.16/x
  3. Step 3: Cross multiply
    302,893.24x = 417,995.52 × 166,932.16
  4. Step 4: Simplify right side
    302,893.24x = 69,776,895,023.92
  5. Step 5: Solve for x
    x = 69,776,895,023.92/302,893.24
  6. Step 6: Final answer
    x = 230,367.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.