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Finding the Fourth Proportional to 216,334.64, 298,542.84 and 120,845.36

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Solution

The fourth proportional to 216,334.64, 298,542.84 and 120,845.36 is: 166,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,334.64 : 298,542.84 = 120,845.36 : x
  2. Step 2: Convert to fraction form
    216,334.64/298,542.84 = 120,845.36/x
  3. Step 3: Cross multiply
    216,334.64x = 298,542.84 × 120,845.36
  4. Step 4: Simplify right side
    216,334.64x = 36,077,516,975.22
  5. Step 5: Solve for x
    x = 36,077,516,975.22/216,334.64
  6. Step 6: Final answer
    x = 166,767.18

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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.