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Finding the Fourth Proportional to 150,351.36, 207,485.13 and 82,366.85

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Solution

The fourth proportional to 150,351.36, 207,485.13 and 82,366.85 is: 113,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,351.36 : 207,485.13 = 82,366.85 : x
  2. Step 2: Convert to fraction form
    150,351.36/207,485.13 = 82,366.85/x
  3. Step 3: Cross multiply
    150,351.36x = 207,485.13 × 82,366.85
  4. Step 4: Simplify right side
    150,351.36x = 17,089,895,542.51
  5. Step 5: Solve for x
    x = 17,089,895,542.51/150,351.36
  6. Step 6: Final answer
    x = 113,666.38

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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.