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Finding the Fourth Proportional to 220,007.76, 303,608.92 and 119,405.76

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Solution

The fourth proportional to 220,007.76, 303,608.92 and 119,405.76 is: 164,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,007.76 : 303,608.92 = 119,405.76 : x
  2. Step 2: Convert to fraction form
    220,007.76/303,608.92 = 119,405.76/x
  3. Step 3: Cross multiply
    220,007.76x = 303,608.92 × 119,405.76
  4. Step 4: Simplify right side
    220,007.76x = 36,252,653,835.38
  5. Step 5: Solve for x
    x = 36,252,653,835.38/220,007.76
  6. Step 6: Final answer
    x = 164,778.98

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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.