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Finding the Fourth Proportional to 269,259.90, 403,962.55 and 82,266.30

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Solution

The fourth proportional to 269,259.90, 403,962.55 and 82,266.30 is: 123,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,259.90 : 403,962.55 = 82,266.30 : x
  2. Step 2: Convert to fraction form
    269,259.90/403,962.55 = 82,266.30/x
  3. Step 3: Cross multiply
    269,259.90x = 403,962.55 × 82,266.30
  4. Step 4: Simplify right side
    269,259.90x = 33,232,504,327.07
  5. Step 5: Solve for x
    x = 33,232,504,327.07/269,259.90
  6. Step 6: Final answer
    x = 123,421.66

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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.