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Finding the Fourth Proportional to 222,227.50, 306,564.60 and 150,629.98

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Solution

The fourth proportional to 222,227.50, 306,564.60 and 150,629.98 is: 207,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,227.50 : 306,564.60 = 150,629.98 : x
  2. Step 2: Convert to fraction form
    222,227.50/306,564.60 = 150,629.98/x
  3. Step 3: Cross multiply
    222,227.50x = 306,564.60 × 150,629.98
  4. Step 4: Simplify right side
    222,227.50x = 46,177,819,566.71
  5. Step 5: Solve for x
    x = 46,177,819,566.71/222,227.50
  6. Step 6: Final answer
    x = 207,795.25

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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.