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Finding the Fourth Proportional to 142,603, 196,843.98 and 82,987

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Solution

The fourth proportional to 142,603, 196,843.98 and 82,987 is: 114,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,603 : 196,843.98 = 82,987 : x
  2. Step 2: Convert to fraction form
    142,603/196,843.98 = 82,987/x
  3. Step 3: Cross multiply
    142,603x = 196,843.98 × 82,987
  4. Step 4: Simplify right side
    142,603x = 16,335,491,368.26
  5. Step 5: Solve for x
    x = 16,335,491,368.26/142,603
  6. Step 6: Final answer
    x = 114,552.23

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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.