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Finding the Fourth Proportional to 216,647.67, 298,968.20 and 119,849.03

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Solution

The fourth proportional to 216,647.67, 298,968.20 and 119,849.03 is: 165,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,647.67 : 298,968.20 = 119,849.03 : x
  2. Step 2: Convert to fraction form
    216,647.67/298,968.20 = 119,849.03/x
  3. Step 3: Cross multiply
    216,647.67x = 298,968.20 × 119,849.03
  4. Step 4: Simplify right side
    216,647.67x = 35,831,048,247.32
  5. Step 5: Solve for x
    x = 35,831,048,247.32/216,647.67
  6. Step 6: Final answer
    x = 165,388.57

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Why These Related Problems?

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