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Finding the Fourth Proportional to 200,795.56, 301,192.86 and 110,833.96

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Solution

The fourth proportional to 200,795.56, 301,192.86 and 110,833.96 is: 166,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,795.56 : 301,192.86 = 110,833.96 : x
  2. Step 2: Convert to fraction form
    200,795.56/301,192.86 = 110,833.96/x
  3. Step 3: Cross multiply
    200,795.56x = 301,192.86 × 110,833.96
  4. Step 4: Simplify right side
    200,795.56x = 33,382,397,397.53
  5. Step 5: Solve for x
    x = 33,382,397,397.53/200,795.56
  6. Step 6: Final answer
    x = 166,250.68

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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.