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Finding the Fourth Proportional to 150,199.09, 207,275.06 and 82,220.41

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Solution

The fourth proportional to 150,199.09, 207,275.06 and 82,220.41 is: 113,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,199.09 : 207,275.06 = 82,220.41 : x
  2. Step 2: Convert to fraction form
    150,199.09/207,275.06 = 82,220.41/x
  3. Step 3: Cross multiply
    150,199.09x = 207,275.06 × 82,220.41
  4. Step 4: Simplify right side
    150,199.09x = 17,042,240,054.11
  5. Step 5: Solve for x
    x = 17,042,240,054.11/150,199.09
  6. Step 6: Final answer
    x = 113,464.33

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