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Finding the Fourth Proportional to 202,083.54, 303,176.79 and 59,934

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Solution

The fourth proportional to 202,083.54, 303,176.79 and 59,934 is: 89,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,083.54 : 303,176.79 = 59,934 : x
  2. Step 2: Convert to fraction form
    202,083.54/303,176.79 = 59,934/x
  3. Step 3: Cross multiply
    202,083.54x = 303,176.79 × 59,934
  4. Step 4: Simplify right side
    202,083.54x = 18,170,597,731.86
  5. Step 5: Solve for x
    x = 18,170,597,731.86/202,083.54
  6. Step 6: Final answer
    x = 89,916.27

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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.