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Finding the Fourth Proportional to 202,486.48, 303,738.02 and 69,458.22

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Solution

The fourth proportional to 202,486.48, 303,738.02 and 69,458.22 is: 104,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,486.48 : 303,738.02 = 69,458.22 : x
  2. Step 2: Convert to fraction form
    202,486.48/303,738.02 = 69,458.22/x
  3. Step 3: Cross multiply
    202,486.48x = 303,738.02 × 69,458.22
  4. Step 4: Simplify right side
    202,486.48x = 21,097,102,128.70
  5. Step 5: Solve for x
    x = 21,097,102,128.70/202,486.48
  6. Step 6: Final answer
    x = 104,190.18

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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.