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Finding the Fourth Proportional to 216,438.06, 298,678.96 and 120,945.54

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Solution

The fourth proportional to 216,438.06, 298,678.96 and 120,945.54 is: 166,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,438.06 : 298,678.96 = 120,945.54 : x
  2. Step 2: Convert to fraction form
    216,438.06/298,678.96 = 120,945.54/x
  3. Step 3: Cross multiply
    216,438.06x = 298,678.96 × 120,945.54
  4. Step 4: Simplify right side
    216,438.06x = 36,123,888,103.84
  5. Step 5: Solve for x
    x = 36,123,888,103.84/216,438.06
  6. Step 6: Final answer
    x = 166,901.74

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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.