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Finding the Fourth Proportional to 200,841.26, 301,266.25 and 72,768.98

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Solution

The fourth proportional to 200,841.26, 301,266.25 and 72,768.98 is: 109,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,841.26 : 301,266.25 = 72,768.98 : x
  2. Step 2: Convert to fraction form
    200,841.26/301,266.25 = 72,768.98/x
  3. Step 3: Cross multiply
    200,841.26x = 301,266.25 × 72,768.98
  4. Step 4: Simplify right side
    200,841.26x = 21,922,835,850.75
  5. Step 5: Solve for x
    x = 21,922,835,850.75/200,841.26
  6. Step 6: Final answer
    x = 109,155.04

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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.