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Finding the Fourth Proportional to 199,132.50, 298,634.16 and 65,977

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Solution

The fourth proportional to 199,132.50, 298,634.16 and 65,977 is: 98,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,132.50 : 298,634.16 = 65,977 : x
  2. Step 2: Convert to fraction form
    199,132.50/298,634.16 = 65,977/x
  3. Step 3: Cross multiply
    199,132.50x = 298,634.16 × 65,977
  4. Step 4: Simplify right side
    199,132.50x = 19,702,985,974.32
  5. Step 5: Solve for x
    x = 19,702,985,974.32/199,132.50
  6. Step 6: Final answer
    x = 98,944.10

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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.