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Finding the Fourth Proportional to 202,205.96, 303,344.60 and 69,055

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Solution

The fourth proportional to 202,205.96, 303,344.60 and 69,055 is: 103,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205.96 : 303,344.60 = 69,055 : x
  2. Step 2: Convert to fraction form
    202,205.96/303,344.60 = 69,055/x
  3. Step 3: Cross multiply
    202,205.96x = 303,344.60 × 69,055
  4. Step 4: Simplify right side
    202,205.96x = 20,947,461,353
  5. Step 5: Solve for x
    x = 20,947,461,353/202,205.96
  6. Step 6: Final answer
    x = 103,594.68

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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.