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Finding the Fourth Proportional to 222,682, 333,186 and 156,251.76

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Solution

The fourth proportional to 222,682, 333,186 and 156,251.76 is: 233,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,682 : 333,186 = 156,251.76 : x
  2. Step 2: Convert to fraction form
    222,682/333,186 = 156,251.76/x
  3. Step 3: Cross multiply
    222,682x = 333,186 × 156,251.76
  4. Step 4: Simplify right side
    222,682x = 52,060,898,907.36
  5. Step 5: Solve for x
    x = 52,060,898,907.36/222,682
  6. Step 6: Final answer
    x = 233,790.33

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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.