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Finding the Fourth Proportional to 216,038.36, 298,147.74 and 120,563.48

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Solution

The fourth proportional to 216,038.36, 298,147.74 and 120,563.48 is: 166,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,038.36 : 298,147.74 = 120,563.48 : x
  2. Step 2: Convert to fraction form
    216,038.36/298,147.74 = 120,563.48/x
  3. Step 3: Cross multiply
    216,038.36x = 298,147.74 × 120,563.48
  4. Step 4: Simplify right side
    216,038.36x = 35,945,729,088.54
  5. Step 5: Solve for x
    x = 35,945,729,088.54/216,038.36
  6. Step 6: Final answer
    x = 166,385.86

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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.