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Finding the Fourth Proportional to 188,297.82, 282,422.16 and 83,092.23

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Solution

The fourth proportional to 188,297.82, 282,422.16 and 83,092.23 is: 124,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,297.82 : 282,422.16 = 83,092.23 : x
  2. Step 2: Convert to fraction form
    188,297.82/282,422.16 = 83,092.23/x
  3. Step 3: Cross multiply
    188,297.82x = 282,422.16 × 83,092.23
  4. Step 4: Simplify right side
    188,297.82x = 23,467,087,075.82
  5. Step 5: Solve for x
    x = 23,467,087,075.82/188,297.82
  6. Step 6: Final answer
    x = 124,627.50

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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.