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Finding the Fourth Proportional to 200,849.52, 301,064.07 and 67,683.77

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Solution

The fourth proportional to 200,849.52, 301,064.07 and 67,683.77 is: 101,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,849.52 : 301,064.07 = 67,683.77 : x
  2. Step 2: Convert to fraction form
    200,849.52/301,064.07 = 67,683.77/x
  3. Step 3: Cross multiply
    200,849.52x = 301,064.07 × 67,683.77
  4. Step 4: Simplify right side
    200,849.52x = 20,377,151,146.63
  5. Step 5: Solve for x
    x = 20,377,151,146.63/200,849.52
  6. Step 6: Final answer
    x = 101,454.81

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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.