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Finding the Fourth Proportional to 201,151.09, 301,765.56 and 68,053.06

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Solution

The fourth proportional to 201,151.09, 301,765.56 and 68,053.06 is: 102,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,151.09 : 301,765.56 = 68,053.06 : x
  2. Step 2: Convert to fraction form
    201,151.09/301,765.56 = 68,053.06/x
  3. Step 3: Cross multiply
    201,151.09x = 301,765.56 × 68,053.06
  4. Step 4: Simplify right side
    201,151.09x = 20,536,069,760.61
  5. Step 5: Solve for x
    x = 20,536,069,760.61/201,151.09
  6. Step 6: Final answer
    x = 102,092.76

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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.