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Finding the Fourth Proportional to 301,194.34, 451,790.79 and 166,251.94

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Solution

The fourth proportional to 301,194.34, 451,790.79 and 166,251.94 is: 249,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,194.34 : 451,790.79 = 166,251.94 : x
  2. Step 2: Convert to fraction form
    301,194.34/451,790.79 = 166,251.94/x
  3. Step 3: Cross multiply
    301,194.34x = 451,790.79 × 166,251.94
  4. Step 4: Simplify right side
    301,194.34x = 75,111,095,311.63
  5. Step 5: Solve for x
    x = 75,111,095,311.63/301,194.34
  6. Step 6: Final answer
    x = 249,377.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.