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Finding the Fourth Proportional to 501,872.54, 752,837.99 and 142,013.22

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Solution

The fourth proportional to 501,872.54, 752,837.99 and 142,013.22 is: 213,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,872.54 : 752,837.99 = 142,013.22 : x
  2. Step 2: Convert to fraction form
    501,872.54/752,837.99 = 142,013.22/x
  3. Step 3: Cross multiply
    501,872.54x = 752,837.99 × 142,013.22
  4. Step 4: Simplify right side
    501,872.54x = 106,912,946,388.16
  5. Step 5: Solve for x
    x = 106,912,946,388.16/501,872.54
  6. Step 6: Final answer
    x = 213,028.09

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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.