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Finding the Fourth Proportional to 150,190.49, 207,262.85 and 82,207.59

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Solution

The fourth proportional to 150,190.49, 207,262.85 and 82,207.59 is: 113,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,190.49 : 207,262.85 = 82,207.59 : x
  2. Step 2: Convert to fraction form
    150,190.49/207,262.85 = 82,207.59/x
  3. Step 3: Cross multiply
    150,190.49x = 207,262.85 × 82,207.59
  4. Step 4: Simplify right side
    150,190.49x = 17,038,578,983.99
  5. Step 5: Solve for x
    x = 17,038,578,983.99/150,190.49
  6. Step 6: Final answer
    x = 113,446.46

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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.