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Finding the Fourth Proportional to 204,957.66, 307,480.26 and 71,846.04

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Solution

The fourth proportional to 204,957.66, 307,480.26 and 71,846.04 is: 107,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,957.66 : 307,480.26 = 71,846.04 : x
  2. Step 2: Convert to fraction form
    204,957.66/307,480.26 = 71,846.04/x
  3. Step 3: Cross multiply
    204,957.66x = 307,480.26 × 71,846.04
  4. Step 4: Simplify right side
    204,957.66x = 22,091,239,059.17
  5. Step 5: Solve for x
    x = 22,091,239,059.17/204,957.66
  6. Step 6: Final answer
    x = 107,784.40

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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.