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Finding the Fourth Proportional to 220,645.44, 330,971.81 and 106,727.04

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Solution

The fourth proportional to 220,645.44, 330,971.81 and 106,727.04 is: 160,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,645.44 : 330,971.81 = 106,727.04 : x
  2. Step 2: Convert to fraction form
    220,645.44/330,971.81 = 106,727.04/x
  3. Step 3: Cross multiply
    220,645.44x = 330,971.81 × 106,727.04
  4. Step 4: Simplify right side
    220,645.44x = 35,323,641,071.11
  5. Step 5: Solve for x
    x = 35,323,641,071.11/220,645.44
  6. Step 6: Final answer
    x = 160,092.32

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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.