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Finding the Fourth Proportional to 199,926.93, 299,857.95 and 66,806.98

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Solution

The fourth proportional to 199,926.93, 299,857.95 and 66,806.98 is: 100,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,926.93 : 299,857.95 = 66,806.98 : x
  2. Step 2: Convert to fraction form
    199,926.93/299,857.95 = 66,806.98/x
  3. Step 3: Cross multiply
    199,926.93x = 299,857.95 × 66,806.98
  4. Step 4: Simplify right side
    199,926.93x = 20,032,603,318.85
  5. Step 5: Solve for x
    x = 20,032,603,318.85/199,926.93
  6. Step 6: Final answer
    x = 100,199.62

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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.