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Finding the Fourth Proportional to 189,678.23, 261,451.94 and 128,405.09

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Solution

The fourth proportional to 189,678.23, 261,451.94 and 128,405.09 is: 176,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,678.23 : 261,451.94 = 128,405.09 : x
  2. Step 2: Convert to fraction form
    189,678.23/261,451.94 = 128,405.09/x
  3. Step 3: Cross multiply
    189,678.23x = 261,451.94 × 128,405.09
  4. Step 4: Simplify right side
    189,678.23x = 33,571,760,861.02
  5. Step 5: Solve for x
    x = 33,571,760,861.02/189,678.23
  6. Step 6: Final answer
    x = 176,993.23

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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.