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Finding the Fourth Proportional to 222,696.42, 333,650.97 and 147,638.58

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Solution

The fourth proportional to 222,696.42, 333,650.97 and 147,638.58 is: 221,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,696.42 : 333,650.97 = 147,638.58 : x
  2. Step 2: Convert to fraction form
    222,696.42/333,650.97 = 147,638.58/x
  3. Step 3: Cross multiply
    222,696.42x = 333,650.97 × 147,638.58
  4. Step 4: Simplify right side
    222,696.42x = 49,259,755,426.42
  5. Step 5: Solve for x
    x = 49,259,755,426.42/222,696.42
  6. Step 6: Final answer
    x = 221,196.89

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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.