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Finding the Fourth Proportional to 220,166.44, 303,829.68 and 119,564.44

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Solution

The fourth proportional to 220,166.44, 303,829.68 and 119,564.44 is: 164,998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,166.44 : 303,829.68 = 119,564.44 : x
  2. Step 2: Convert to fraction form
    220,166.44/303,829.68 = 119,564.44/x
  3. Step 3: Cross multiply
    220,166.44x = 303,829.68 × 119,564.44
  4. Step 4: Simplify right side
    220,166.44x = 36,327,225,233.37
  5. Step 5: Solve for x
    x = 36,327,225,233.37/220,166.44
  6. Step 6: Final answer
    x = 164,998.92

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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.