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Finding the Fourth Proportional to 205,163.98, 283,173.53 and 120,308.38

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Solution

The fourth proportional to 205,163.98, 283,173.53 and 120,308.38 is: 166,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,163.98 : 283,173.53 = 120,308.38 : x
  2. Step 2: Convert to fraction form
    205,163.98/283,173.53 = 120,308.38/x
  3. Step 3: Cross multiply
    205,163.98x = 283,173.53 × 120,308.38
  4. Step 4: Simplify right side
    205,163.98x = 34,068,148,653.18
  5. Step 5: Solve for x
    x = 34,068,148,653.18/205,163.98
  6. Step 6: Final answer
    x = 166,053.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.