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Finding the Fourth Proportional to 202,211.50, 303,344.16 and 69,056.02

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Solution

The fourth proportional to 202,211.50, 303,344.16 and 69,056.02 is: 103,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,211.50 : 303,344.16 = 69,056.02 : x
  2. Step 2: Convert to fraction form
    202,211.50/303,344.16 = 69,056.02/x
  3. Step 3: Cross multiply
    202,211.50x = 303,344.16 × 69,056.02
  4. Step 4: Simplify right side
    202,211.50x = 20,947,740,379.84
  5. Step 5: Solve for x
    x = 20,947,740,379.84/202,211.50
  6. Step 6: Final answer
    x = 103,593.22

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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.