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Finding the Fourth Proportional to 66,198, 99,296.14 and 16,278.53

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Solution

The fourth proportional to 66,198, 99,296.14 and 16,278.53 is: 24,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,198 : 99,296.14 = 16,278.53 : x
  2. Step 2: Convert to fraction form
    66,198/99,296.14 = 16,278.53/x
  3. Step 3: Cross multiply
    66,198x = 99,296.14 × 16,278.53
  4. Step 4: Simplify right side
    66,198x = 1,616,395,193.87
  5. Step 5: Solve for x
    x = 1,616,395,193.87/66,198
  6. Step 6: Final answer
    x = 24,417.58

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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.