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Finding the Fourth Proportional to 199,709.15, 299,566.55 and 111,523.84

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Solution

The fourth proportional to 199,709.15, 299,566.55 and 111,523.84 is: 167,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,709.15 : 299,566.55 = 111,523.84 : x
  2. Step 2: Convert to fraction form
    199,709.15/299,566.55 = 111,523.84/x
  3. Step 3: Cross multiply
    199,709.15x = 299,566.55 × 111,523.84
  4. Step 4: Simplify right side
    199,709.15x = 33,408,811,521.45
  5. Step 5: Solve for x
    x = 33,408,811,521.45/199,709.15
  6. Step 6: Final answer
    x = 167,287.34

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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.