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Finding the Fourth Proportional to 199,873.84, 299,725.41 and 115,692.11

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Solution

The fourth proportional to 199,873.84, 299,725.41 and 115,692.11 is: 173,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,873.84 : 299,725.41 = 115,692.11 : x
  2. Step 2: Convert to fraction form
    199,873.84/299,725.41 = 115,692.11/x
  3. Step 3: Cross multiply
    199,873.84x = 299,725.41 × 115,692.11
  4. Step 4: Simplify right side
    199,873.84x = 34,675,864,643.43
  5. Step 5: Solve for x
    x = 34,675,864,643.43/199,873.84
  6. Step 6: Final answer
    x = 173,488.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.