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Finding the Fourth Proportional to 204,802.54, 307,157.72 and 73,474.54

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Solution

The fourth proportional to 204,802.54, 307,157.72 and 73,474.54 is: 110,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,802.54 : 307,157.72 = 73,474.54 : x
  2. Step 2: Convert to fraction form
    204,802.54/307,157.72 = 73,474.54/x
  3. Step 3: Cross multiply
    204,802.54x = 307,157.72 × 73,474.54
  4. Step 4: Simplify right side
    204,802.54x = 22,568,272,184.45
  5. Step 5: Solve for x
    x = 22,568,272,184.45/204,802.54
  6. Step 6: Final answer
    x = 110,195.27

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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.