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Finding the Fourth Proportional to 216,423.14, 298,669.21 and 120,936.02

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Solution

The fourth proportional to 216,423.14, 298,669.21 and 120,936.02 is: 166,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,423.14 : 298,669.21 = 120,936.02 : x
  2. Step 2: Convert to fraction form
    216,423.14/298,669.21 = 120,936.02/x
  3. Step 3: Cross multiply
    216,423.14x = 298,669.21 × 120,936.02
  4. Step 4: Simplify right side
    216,423.14x = 36,119,863,758.26
  5. Step 5: Solve for x
    x = 36,119,863,758.26/216,423.14
  6. Step 6: Final answer
    x = 166,894.65

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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.