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Finding the Fourth Proportional to 269,216.30, 403,792.05 and 111,428.30

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Solution

The fourth proportional to 269,216.30, 403,792.05 and 111,428.30 is: 167,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,216.30 : 403,792.05 = 111,428.30 : x
  2. Step 2: Convert to fraction form
    269,216.30/403,792.05 = 111,428.30/x
  3. Step 3: Cross multiply
    269,216.30x = 403,792.05 × 111,428.30
  4. Step 4: Simplify right side
    269,216.30x = 44,993,861,685.02
  5. Step 5: Solve for x
    x = 44,993,861,685.02/269,216.30
  6. Step 6: Final answer
    x = 167,129.04

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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.