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Finding the Fourth Proportional to 223,794.75, 335,688.81 and 55,315.10

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Solution

The fourth proportional to 223,794.75, 335,688.81 and 55,315.10 is: 82,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,794.75 : 335,688.81 = 55,315.10 : x
  2. Step 2: Convert to fraction form
    223,794.75/335,688.81 = 55,315.10/x
  3. Step 3: Cross multiply
    223,794.75x = 335,688.81 × 55,315.10
  4. Step 4: Simplify right side
    223,794.75x = 18,568,658,415.59
  5. Step 5: Solve for x
    x = 18,568,658,415.59/223,794.75
  6. Step 6: Final answer
    x = 82,971.82

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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.