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Finding the Fourth Proportional to 200,696.77, 301,006.84 and 100,829.24

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Solution

The fourth proportional to 200,696.77, 301,006.84 and 100,829.24 is: 151,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,696.77 : 301,006.84 = 100,829.24 : x
  2. Step 2: Convert to fraction form
    200,696.77/301,006.84 = 100,829.24/x
  3. Step 3: Cross multiply
    200,696.77x = 301,006.84 × 100,829.24
  4. Step 4: Simplify right side
    200,696.77x = 30,350,290,912.00
  5. Step 5: Solve for x
    x = 30,350,290,912.00/200,696.77
  6. Step 6: Final answer
    x = 151,224.61

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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.