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Finding the Fourth Proportional to 216,039.36, 298,149.12 and 120,564.48

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Solution

The fourth proportional to 216,039.36, 298,149.12 and 120,564.48 is: 166,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,039.36 : 298,149.12 = 120,564.48 : x
  2. Step 2: Convert to fraction form
    216,039.36/298,149.12 = 120,564.48/x
  3. Step 3: Cross multiply
    216,039.36x = 298,149.12 × 120,564.48
  4. Step 4: Simplify right side
    216,039.36x = 35,946,193,615.26
  5. Step 5: Solve for x
    x = 35,946,193,615.26/216,039.36
  6. Step 6: Final answer
    x = 166,387.24

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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.