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Finding the Fourth Proportional to 150,551.44, 207,763.86 and 82,564.36

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Solution

The fourth proportional to 150,551.44, 207,763.86 and 82,564.36 is: 113,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,551.44 : 207,763.86 = 82,564.36 : x
  2. Step 2: Convert to fraction form
    150,551.44/207,763.86 = 82,564.36/x
  3. Step 3: Cross multiply
    150,551.44x = 207,763.86 × 82,564.36
  4. Step 4: Simplify right side
    150,551.44x = 17,153,890,132.03
  5. Step 5: Solve for x
    x = 17,153,890,132.03/150,551.44
  6. Step 6: Final answer
    x = 113,940.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.