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Finding the Fourth Proportional to 202,333.14, 303,501.60 and 89,982.90

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Solution

The fourth proportional to 202,333.14, 303,501.60 and 89,982.90 is: 134,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,333.14 : 303,501.60 = 89,982.90 : x
  2. Step 2: Convert to fraction form
    202,333.14/303,501.60 = 89,982.90/x
  3. Step 3: Cross multiply
    202,333.14x = 303,501.60 × 89,982.90
  4. Step 4: Simplify right side
    202,333.14x = 27,309,954,122.64
  5. Step 5: Solve for x
    x = 27,309,954,122.64/202,333.14
  6. Step 6: Final answer
    x = 134,975.19

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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.