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Finding the Fourth Proportional to 273,201.67, 409,802.51 and 86,227.75

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Solution

The fourth proportional to 273,201.67, 409,802.51 and 86,227.75 is: 129,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,201.67 : 409,802.51 = 86,227.75 : x
  2. Step 2: Convert to fraction form
    273,201.67/409,802.51 = 86,227.75/x
  3. Step 3: Cross multiply
    273,201.67x = 409,802.51 × 86,227.75
  4. Step 4: Simplify right side
    273,201.67x = 35,336,348,381.65
  5. Step 5: Solve for x
    x = 35,336,348,381.65/273,201.67
  6. Step 6: Final answer
    x = 129,341.63

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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.