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Finding the Fourth Proportional to 150,351.76, 207,365.70 and 96,642.28

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Solution

The fourth proportional to 150,351.76, 207,365.70 and 96,642.28 is: 133,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,351.76 : 207,365.70 = 96,642.28 : x
  2. Step 2: Convert to fraction form
    150,351.76/207,365.70 = 96,642.28/x
  3. Step 3: Cross multiply
    150,351.76x = 207,365.70 × 96,642.28
  4. Step 4: Simplify right side
    150,351.76x = 20,040,294,041.80
  5. Step 5: Solve for x
    x = 20,040,294,041.80/150,351.76
  6. Step 6: Final answer
    x = 133,289.39

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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.