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Finding the Fourth Proportional to 222,751, 307,270.63 and 132,017.84

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Solution

The fourth proportional to 222,751, 307,270.63 and 132,017.84 is: 182,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,751 : 307,270.63 = 132,017.84 : x
  2. Step 2: Convert to fraction form
    222,751/307,270.63 = 132,017.84/x
  3. Step 3: Cross multiply
    222,751x = 307,270.63 × 132,017.84
  4. Step 4: Simplify right side
    222,751x = 40,565,204,868.04
  5. Step 5: Solve for x
    x = 40,565,204,868.04/222,751
  6. Step 6: Final answer
    x = 182,110.09

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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.