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Finding the Fourth Proportional to 199,819.52, 299,722.36 and 50,061.08

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Solution

The fourth proportional to 199,819.52, 299,722.36 and 50,061.08 is: 75,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,819.52 : 299,722.36 = 50,061.08 : x
  2. Step 2: Convert to fraction form
    199,819.52/299,722.36 = 50,061.08/x
  3. Step 3: Cross multiply
    199,819.52x = 299,722.36 × 50,061.08
  4. Step 4: Simplify right side
    199,819.52x = 15,004,425,041.75
  5. Step 5: Solve for x
    x = 15,004,425,041.75/199,819.52
  6. Step 6: Final answer
    x = 75,089.89

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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.