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Finding the Fourth Proportional to 275,812.36, 413,508.06 and 142,607.58

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Solution

The fourth proportional to 275,812.36, 413,508.06 and 142,607.58 is: 213,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,812.36 : 413,508.06 = 142,607.58 : x
  2. Step 2: Convert to fraction form
    275,812.36/413,508.06 = 142,607.58/x
  3. Step 3: Cross multiply
    275,812.36x = 413,508.06 × 142,607.58
  4. Step 4: Simplify right side
    275,812.36x = 58,969,383,747.09
  5. Step 5: Solve for x
    x = 58,969,383,747.09/275,812.36
  6. Step 6: Final answer
    x = 213,802.54

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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.