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Finding the Fourth Proportional to 202,084.54, 303,178.29 and 59,935

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Solution

The fourth proportional to 202,084.54, 303,178.29 and 59,935 is: 89,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,084.54 : 303,178.29 = 59,935 : x
  2. Step 2: Convert to fraction form
    202,084.54/303,178.29 = 59,935/x
  3. Step 3: Cross multiply
    202,084.54x = 303,178.29 × 59,935
  4. Step 4: Simplify right side
    202,084.54x = 18,170,990,811.15
  5. Step 5: Solve for x
    x = 18,170,990,811.15/202,084.54
  6. Step 6: Final answer
    x = 89,917.77

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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.