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Finding the Fourth Proportional to 200,235.56, 276,297.80 and 119,646.05

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Solution

The fourth proportional to 200,235.56, 276,297.80 and 119,646.05 is: 165,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,235.56 : 276,297.80 = 119,646.05 : x
  2. Step 2: Convert to fraction form
    200,235.56/276,297.80 = 119,646.05/x
  3. Step 3: Cross multiply
    200,235.56x = 276,297.80 × 119,646.05
  4. Step 4: Simplify right side
    200,235.56x = 33,057,938,413.97
  5. Step 5: Solve for x
    x = 33,057,938,413.97/200,235.56
  6. Step 6: Final answer
    x = 165,095.25

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Why These Related Problems?

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