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Finding the Fourth Proportional to 150,206.49, 207,270.77 and 89,765.10

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Solution

The fourth proportional to 150,206.49, 207,270.77 and 89,765.10 is: 123,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,206.49 : 207,270.77 = 89,765.10 : x
  2. Step 2: Convert to fraction form
    150,206.49/207,270.77 = 89,765.10/x
  3. Step 3: Cross multiply
    150,206.49x = 207,270.77 × 89,765.10
  4. Step 4: Simplify right side
    150,206.49x = 18,605,680,584.19
  5. Step 5: Solve for x
    x = 18,605,680,584.19/150,206.49
  6. Step 6: Final answer
    x = 123,867.36

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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.