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Finding the Fourth Proportional to 161,919.28, 242,877.21 and 55,302

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Solution

The fourth proportional to 161,919.28, 242,877.21 and 55,302 is: 82,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,919.28 : 242,877.21 = 55,302 : x
  2. Step 2: Convert to fraction form
    161,919.28/242,877.21 = 55,302/x
  3. Step 3: Cross multiply
    161,919.28x = 242,877.21 × 55,302
  4. Step 4: Simplify right side
    161,919.28x = 13,431,595,467.42
  5. Step 5: Solve for x
    x = 13,431,595,467.42/161,919.28
  6. Step 6: Final answer
    x = 82,952.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.