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Finding the Fourth Proportional to 199,447.56, 299,170.80 and 73,097.28

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Solution

The fourth proportional to 199,447.56, 299,170.80 and 73,097.28 is: 109,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,447.56 : 299,170.80 = 73,097.28 : x
  2. Step 2: Convert to fraction form
    199,447.56/299,170.80 = 73,097.28/x
  3. Step 3: Cross multiply
    199,447.56x = 299,170.80 × 73,097.28
  4. Step 4: Simplify right side
    199,447.56x = 21,868,571,735.42
  5. Step 5: Solve for x
    x = 21,868,571,735.42/199,447.56
  6. Step 6: Final answer
    x = 109,645.72

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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.