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Finding the Fourth Proportional to 412,111.92, 617,940.74 and 127,723.62

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Solution

The fourth proportional to 412,111.92, 617,940.74 and 127,723.62 is: 191,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,111.92 : 617,940.74 = 127,723.62 : x
  2. Step 2: Convert to fraction form
    412,111.92/617,940.74 = 127,723.62/x
  3. Step 3: Cross multiply
    412,111.92x = 617,940.74 × 127,723.62
  4. Step 4: Simplify right side
    412,111.92x = 78,925,628,258.28
  5. Step 5: Solve for x
    x = 78,925,628,258.28/412,111.92
  6. Step 6: Final answer
    x = 191,515.03

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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.