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Finding the Fourth Proportional to 274,084.36, 411,017.53 and 105,511.08

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Solution

The fourth proportional to 274,084.36, 411,017.53 and 105,511.08 is: 158,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,084.36 : 411,017.53 = 105,511.08 : x
  2. Step 2: Convert to fraction form
    274,084.36/411,017.53 = 105,511.08/x
  3. Step 3: Cross multiply
    274,084.36x = 411,017.53 × 105,511.08
  4. Step 4: Simplify right side
    274,084.36x = 43,366,903,489.23
  5. Step 5: Solve for x
    x = 43,366,903,489.23/274,084.36
  6. Step 6: Final answer
    x = 158,224.66

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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.