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Finding the Fourth Proportional to 199,911.84, 299,867.64 and 52,167.84

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Solution

The fourth proportional to 199,911.84, 299,867.64 and 52,167.84 is: 78,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,911.84 : 299,867.64 = 52,167.84 : x
  2. Step 2: Convert to fraction form
    199,911.84/299,867.64 = 52,167.84/x
  3. Step 3: Cross multiply
    199,911.84x = 299,867.64 × 52,167.84
  4. Step 4: Simplify right side
    199,911.84x = 15,643,447,064.70
  5. Step 5: Solve for x
    x = 15,643,447,064.70/199,911.84
  6. Step 6: Final answer
    x = 78,251.73

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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.