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Finding the Fourth Proportional to 199,666.84, 275,538.84 and 109,022.75

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Solution

The fourth proportional to 199,666.84, 275,538.84 and 109,022.75 is: 150,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,666.84 : 275,538.84 = 109,022.75 : x
  2. Step 2: Convert to fraction form
    199,666.84/275,538.84 = 109,022.75/x
  3. Step 3: Cross multiply
    199,666.84x = 275,538.84 × 109,022.75
  4. Step 4: Simplify right side
    199,666.84x = 30,040,002,068.61
  5. Step 5: Solve for x
    x = 30,040,002,068.61/199,666.84
  6. Step 6: Final answer
    x = 150,450.63

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1.5x scale

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.