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Finding the Fourth Proportional to 216,409.92, 298,622.88 and 120,920.64

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Solution

The fourth proportional to 216,409.92, 298,622.88 and 120,920.64 is: 166,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,409.92 : 298,622.88 = 120,920.64 : x
  2. Step 2: Convert to fraction form
    216,409.92/298,622.88 = 120,920.64/x
  3. Step 3: Cross multiply
    216,409.92x = 298,622.88 × 120,920.64
  4. Step 4: Simplify right side
    216,409.92x = 36,109,669,768.24
  5. Step 5: Solve for x
    x = 36,109,669,768.24/216,409.92
  6. Step 6: Final answer
    x = 166,857.74

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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.