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Finding the Fourth Proportional to 199,817.52, 299,719.36 and 50,059.08

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Solution

The fourth proportional to 199,817.52, 299,719.36 and 50,059.08 is: 75,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,817.52 : 299,719.36 = 50,059.08 : x
  2. Step 2: Convert to fraction form
    199,817.52/299,719.36 = 50,059.08/x
  3. Step 3: Cross multiply
    199,817.52x = 299,719.36 × 50,059.08
  4. Step 4: Simplify right side
    199,817.52x = 15,003,675,419.79
  5. Step 5: Solve for x
    x = 15,003,675,419.79/199,817.52
  6. Step 6: Final answer
    x = 75,086.89

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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.