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Finding the Fourth Proportional to 220,123.24, 303,770.19 and 119,521.24

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Solution

The fourth proportional to 220,123.24, 303,770.19 and 119,521.24 is: 164,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,123.24 : 303,770.19 = 119,521.24 : x
  2. Step 2: Convert to fraction form
    220,123.24/303,770.19 = 119,521.24/x
  3. Step 3: Cross multiply
    220,123.24x = 303,770.19 × 119,521.24
  4. Step 4: Simplify right side
    220,123.24x = 36,306,989,783.84
  5. Step 5: Solve for x
    x = 36,306,989,783.84/220,123.24
  6. Step 6: Final answer
    x = 164,939.38

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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.