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Finding the Fourth Proportional to 222,696.42, 333,446.85 and 187,267.02

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Solution

The fourth proportional to 222,696.42, 333,446.85 and 187,267.02 is: 280,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,696.42 : 333,446.85 = 187,267.02 : x
  2. Step 2: Convert to fraction form
    222,696.42/333,446.85 = 187,267.02/x
  3. Step 3: Cross multiply
    222,696.42x = 333,446.85 × 187,267.02
  4. Step 4: Simplify right side
    222,696.42x = 62,443,597,927.89
  5. Step 5: Solve for x
    x = 62,443,597,927.89/222,696.42
  6. Step 6: Final answer
    x = 280,397.85

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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.