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Finding the Fourth Proportional to 220,101.84, 303,743.88 and 119,499.84

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Solution

The fourth proportional to 220,101.84, 303,743.88 and 119,499.84 is: 164,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,101.84 : 303,743.88 = 119,499.84 : x
  2. Step 2: Convert to fraction form
    220,101.84/303,743.88 = 119,499.84/x
  3. Step 3: Cross multiply
    220,101.84x = 303,743.88 × 119,499.84
  4. Step 4: Simplify right side
    220,101.84x = 36,297,345,060.98
  5. Step 5: Solve for x
    x = 36,297,345,060.98/220,101.84
  6. Step 6: Final answer
    x = 164,911.59

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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.