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Finding the Fourth Proportional to 312,664.46, 468,881.82 and 107,440.92

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Solution

The fourth proportional to 312,664.46, 468,881.82 and 107,440.92 is: 161,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,664.46 : 468,881.82 = 107,440.92 : x
  2. Step 2: Convert to fraction form
    312,664.46/468,881.82 = 107,440.92/x
  3. Step 3: Cross multiply
    312,664.46x = 468,881.82 × 107,440.92
  4. Step 4: Simplify right side
    312,664.46x = 50,377,093,574.87
  5. Step 5: Solve for x
    x = 50,377,093,574.87/312,664.46
  6. Step 6: Final answer
    x = 161,121.91

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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.