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Finding the Fourth Proportional to 201,208.90, 301,813.35 and 82,840.90

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Solution

The fourth proportional to 201,208.90, 301,813.35 and 82,840.90 is: 124,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,208.90 : 301,813.35 = 82,840.90 : x
  2. Step 2: Convert to fraction form
    201,208.90/301,813.35 = 82,840.90/x
  3. Step 3: Cross multiply
    201,208.90x = 301,813.35 × 82,840.90
  4. Step 4: Simplify right side
    201,208.90x = 25,002,489,546.02
  5. Step 5: Solve for x
    x = 25,002,489,546.02/201,208.90
  6. Step 6: Final answer
    x = 124,261.35

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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.