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Finding the Fourth Proportional to 204,908.40, 307,362.60 and 141,922.80

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Solution

The fourth proportional to 204,908.40, 307,362.60 and 141,922.80 is: 212,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,908.40 : 307,362.60 = 141,922.80 : x
  2. Step 2: Convert to fraction form
    204,908.40/307,362.60 = 141,922.80/x
  3. Step 3: Cross multiply
    204,908.40x = 307,362.60 × 141,922.80
  4. Step 4: Simplify right side
    204,908.40x = 43,621,760,807.28
  5. Step 5: Solve for x
    x = 43,621,760,807.28/204,908.40
  6. Step 6: Final answer
    x = 212,884.20

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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.