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Finding the Fourth Proportional to 202,222.74, 303,323.13 and 61,981.74

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Solution

The fourth proportional to 202,222.74, 303,323.13 and 61,981.74 is: 92,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,222.74 : 303,323.13 = 61,981.74 : x
  2. Step 2: Convert to fraction form
    202,222.74/303,323.13 = 61,981.74/x
  3. Step 3: Cross multiply
    202,222.74x = 303,323.13 × 61,981.74
  4. Step 4: Simplify right side
    202,222.74x = 18,800,495,379.65
  5. Step 5: Solve for x
    x = 18,800,495,379.65/202,222.74
  6. Step 6: Final answer
    x = 92,969.24

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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.