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Finding the Fourth Proportional to 202,253.50, 303,379.17 and 52,493.68

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Solution

The fourth proportional to 202,253.50, 303,379.17 and 52,493.68 is: 78,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,253.50 : 303,379.17 = 52,493.68 : x
  2. Step 2: Convert to fraction form
    202,253.50/303,379.17 = 52,493.68/x
  3. Step 3: Cross multiply
    202,253.50x = 303,379.17 × 52,493.68
  4. Step 4: Simplify right side
    202,253.50x = 15,925,489,068.65
  5. Step 5: Solve for x
    x = 15,925,489,068.65/202,253.50
  6. Step 6: Final answer
    x = 78,740.24

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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.