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Finding the Fourth Proportional to 189,163.84, 261,033.01 and 106,390.21

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Solution

The fourth proportional to 189,163.84, 261,033.01 and 106,390.21 is: 146,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,163.84 : 261,033.01 = 106,390.21 : x
  2. Step 2: Convert to fraction form
    189,163.84/261,033.01 = 106,390.21/x
  3. Step 3: Cross multiply
    189,163.84x = 261,033.01 × 106,390.21
  4. Step 4: Simplify right side
    189,163.84x = 27,771,358,062.18
  5. Step 5: Solve for x
    x = 27,771,358,062.18/189,163.84
  6. Step 6: Final answer
    x = 146,811.14

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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.