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Finding the Fourth Proportional to 209,993.56, 314,991.59 and 52,222.01

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Solution

The fourth proportional to 209,993.56, 314,991.59 and 52,222.01 is: 78,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,993.56 : 314,991.59 = 52,222.01 : x
  2. Step 2: Convert to fraction form
    209,993.56/314,991.59 = 52,222.01/x
  3. Step 3: Cross multiply
    209,993.56x = 314,991.59 × 52,222.01
  4. Step 4: Simplify right side
    209,993.56x = 16,449,493,962.90
  5. Step 5: Solve for x
    x = 16,449,493,962.90/209,993.56
  6. Step 6: Final answer
    x = 78,333.33

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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.