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Finding the Fourth Proportional to 269,091.36, 403,622 and 82,088.16

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Solution

The fourth proportional to 269,091.36, 403,622 and 82,088.16 is: 123,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,091.36 : 403,622 = 82,088.16 : x
  2. Step 2: Convert to fraction form
    269,091.36/403,622 = 82,088.16/x
  3. Step 3: Cross multiply
    269,091.36x = 403,622 × 82,088.16
  4. Step 4: Simplify right side
    269,091.36x = 33,132,587,315.52
  5. Step 5: Solve for x
    x = 33,132,587,315.52/269,091.36
  6. Step 6: Final answer
    x = 123,127.65

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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.