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Finding the Fourth Proportional to 305,522.11, 458,173.81 and 105,788.87

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Solution

The fourth proportional to 305,522.11, 458,173.81 and 105,788.87 is: 158,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,522.11 : 458,173.81 = 105,788.87 : x
  2. Step 2: Convert to fraction form
    305,522.11/458,173.81 = 105,788.87/x
  3. Step 3: Cross multiply
    305,522.11x = 458,173.81 × 105,788.87
  4. Step 4: Simplify right side
    305,522.11x = 48,469,689,623.49
  5. Step 5: Solve for x
    x = 48,469,689,623.49/305,522.11
  6. Step 6: Final answer
    x = 158,645.44

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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.