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Finding the Fourth Proportional to 202,343.14, 303,516.60 and 89,992.90

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Solution

The fourth proportional to 202,343.14, 303,516.60 and 89,992.90 is: 134,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,343.14 : 303,516.60 = 89,992.90 : x
  2. Step 2: Convert to fraction form
    202,343.14/303,516.60 = 89,992.90/x
  3. Step 3: Cross multiply
    202,343.14x = 303,516.60 × 89,992.90
  4. Step 4: Simplify right side
    202,343.14x = 27,314,339,032.14
  5. Step 5: Solve for x
    x = 27,314,339,032.14/202,343.14
  6. Step 6: Final answer
    x = 134,990.19

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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.