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Finding the Fourth Proportional to 200,629.83, 300,951.27 and 74,301.93

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Solution

The fourth proportional to 200,629.83, 300,951.27 and 74,301.93 is: 111,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,629.83 : 300,951.27 = 74,301.93 : x
  2. Step 2: Convert to fraction form
    200,629.83/300,951.27 = 74,301.93/x
  3. Step 3: Cross multiply
    200,629.83x = 300,951.27 × 74,301.93
  4. Step 4: Simplify right side
    200,629.83x = 22,361,260,196.95
  5. Step 5: Solve for x
    x = 22,361,260,196.95/200,629.83
  6. Step 6: Final answer
    x = 111,455.31

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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.