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Finding the Fourth Proportional to 202,219.74, 303,318.63 and 61,978.74

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Solution

The fourth proportional to 202,219.74, 303,318.63 and 61,978.74 is: 92,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,219.74 : 303,318.63 = 61,978.74 : x
  2. Step 2: Convert to fraction form
    202,219.74/303,318.63 = 61,978.74/x
  3. Step 3: Cross multiply
    202,219.74x = 303,318.63 × 61,978.74
  4. Step 4: Simplify right side
    202,219.74x = 18,799,306,505.93
  5. Step 5: Solve for x
    x = 18,799,306,505.93/202,219.74
  6. Step 6: Final answer
    x = 92,964.74

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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.