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Finding the Fourth Proportional to 189,921.96, 262,081.17 and 105,033.42

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Solution

The fourth proportional to 189,921.96, 262,081.17 and 105,033.42 is: 144,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,921.96 : 262,081.17 = 105,033.42 : x
  2. Step 2: Convert to fraction form
    189,921.96/262,081.17 = 105,033.42/x
  3. Step 3: Cross multiply
    189,921.96x = 262,081.17 × 105,033.42
  4. Step 4: Simplify right side
    189,921.96x = 27,527,281,602.70
  5. Step 5: Solve for x
    x = 27,527,281,602.70/189,921.96
  6. Step 6: Final answer
    x = 144,939.96

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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.