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Finding the Fourth Proportional to 210,198.49, 289,974 and 124,099.81

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Solution

The fourth proportional to 210,198.49, 289,974 and 124,099.81 is: 171,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,198.49 : 289,974 = 124,099.81 : x
  2. Step 2: Convert to fraction form
    210,198.49/289,974 = 124,099.81/x
  3. Step 3: Cross multiply
    210,198.49x = 289,974 × 124,099.81
  4. Step 4: Simplify right side
    210,198.49x = 35,985,718,304.94
  5. Step 5: Solve for x
    x = 35,985,718,304.94/210,198.49
  6. Step 6: Final answer
    x = 171,198.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.