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Finding the Fourth Proportional to 76,188.33, 105,136.25 and 42,194.52

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Solution

The fourth proportional to 76,188.33, 105,136.25 and 42,194.52 is: 58,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,188.33 : 105,136.25 = 42,194.52 : x
  2. Step 2: Convert to fraction form
    76,188.33/105,136.25 = 42,194.52/x
  3. Step 3: Cross multiply
    76,188.33x = 105,136.25 × 42,194.52
  4. Step 4: Simplify right side
    76,188.33x = 4,436,173,392.38
  5. Step 5: Solve for x
    x = 4,436,173,392.38/76,188.33
  6. Step 6: Final answer
    x = 58,226.42

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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.