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Finding the Fourth Proportional to 222,502.84, 333,774.77 and 72,743.92

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Solution

The fourth proportional to 222,502.84, 333,774.77 and 72,743.92 is: 109,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,502.84 : 333,774.77 = 72,743.92 : x
  2. Step 2: Convert to fraction form
    222,502.84/333,774.77 = 72,743.92/x
  3. Step 3: Cross multiply
    222,502.84x = 333,774.77 × 72,743.92
  4. Step 4: Simplify right side
    222,502.84x = 24,280,085,166.90
  5. Step 5: Solve for x
    x = 24,280,085,166.90/222,502.84
  6. Step 6: Final answer
    x = 109,122.59

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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.