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Finding the Fourth Proportional to 275,173.12, 379,705.08 and 161,974

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Solution

The fourth proportional to 275,173.12, 379,705.08 and 161,974 is: 223,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,173.12 : 379,705.08 = 161,974 : x
  2. Step 2: Convert to fraction form
    275,173.12/379,705.08 = 161,974/x
  3. Step 3: Cross multiply
    275,173.12x = 379,705.08 × 161,974
  4. Step 4: Simplify right side
    275,173.12x = 61,502,350,627.92
  5. Step 5: Solve for x
    x = 61,502,350,627.92/275,173.12
  6. Step 6: Final answer
    x = 223,504.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.