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Finding the Fourth Proportional to 139,481.84, 209,224.22 and 55,262.50

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Solution

The fourth proportional to 139,481.84, 209,224.22 and 55,262.50 is: 82,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,481.84 : 209,224.22 = 55,262.50 : x
  2. Step 2: Convert to fraction form
    139,481.84/209,224.22 = 55,262.50/x
  3. Step 3: Cross multiply
    139,481.84x = 209,224.22 × 55,262.50
  4. Step 4: Simplify right side
    139,481.84x = 11,562,253,457.75
  5. Step 5: Solve for x
    x = 11,562,253,457.75/139,481.84
  6. Step 6: Final answer
    x = 82,894.33

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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.