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Finding the Fourth Proportional to 188,842.96, 283,316.33 and 55,723.22

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Solution

The fourth proportional to 188,842.96, 283,316.33 and 55,723.22 is: 83,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,842.96 : 283,316.33 = 55,723.22 : x
  2. Step 2: Convert to fraction form
    188,842.96/283,316.33 = 55,723.22/x
  3. Step 3: Cross multiply
    188,842.96x = 283,316.33 × 55,723.22
  4. Step 4: Simplify right side
    188,842.96x = 15,787,297,174.52
  5. Step 5: Solve for x
    x = 15,787,297,174.52/188,842.96
  6. Step 6: Final answer
    x = 83,600.14

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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.