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Finding the Fourth Proportional to 216,438.17, 298,678.94 and 120,945.65

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Solution

The fourth proportional to 216,438.17, 298,678.94 and 120,945.65 is: 166,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,438.17 : 298,678.94 = 120,945.65 : x
  2. Step 2: Convert to fraction form
    216,438.17/298,678.94 = 120,945.65/x
  3. Step 3: Cross multiply
    216,438.17x = 298,678.94 × 120,945.65
  4. Step 4: Simplify right side
    216,438.17x = 36,123,916,441.49
  5. Step 5: Solve for x
    x = 36,123,916,441.49/216,438.17
  6. Step 6: Final answer
    x = 166,901.79

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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.