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Finding the Fourth Proportional to 204,801, 307,201.50 and 49,153

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Solution

The fourth proportional to 204,801, 307,201.50 and 49,153 is: 73,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,801 : 307,201.50 = 49,153 : x
  2. Step 2: Convert to fraction form
    204,801/307,201.50 = 49,153/x
  3. Step 3: Cross multiply
    204,801x = 307,201.50 × 49,153
  4. Step 4: Simplify right side
    204,801x = 15,099,875,329.50
  5. Step 5: Solve for x
    x = 15,099,875,329.50/204,801
  6. Step 6: Final answer
    x = 73,729.50

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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.