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Finding the Fourth Proportional to 204,906.70, 307,360.05 and 200,970.10

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Solution

The fourth proportional to 204,906.70, 307,360.05 and 200,970.10 is: 301,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.70 : 307,360.05 = 200,970.10 : x
  2. Step 2: Convert to fraction form
    204,906.70/307,360.05 = 200,970.10/x
  3. Step 3: Cross multiply
    204,906.70x = 307,360.05 × 200,970.10
  4. Step 4: Simplify right side
    204,906.70x = 61,770,179,984.51
  5. Step 5: Solve for x
    x = 61,770,179,984.51/204,906.70
  6. Step 6: Final answer
    x = 301,455.15

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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.