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Finding the Fourth Proportional to 105,289.23, 144,932.97 and 91,837.05

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Solution

The fourth proportional to 105,289.23, 144,932.97 and 91,837.05 is: 126,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,289.23 : 144,932.97 = 91,837.05 : x
  2. Step 2: Convert to fraction form
    105,289.23/144,932.97 = 91,837.05/x
  3. Step 3: Cross multiply
    105,289.23x = 144,932.97 × 91,837.05
  4. Step 4: Simplify right side
    105,289.23x = 13,310,216,412.54
  5. Step 5: Solve for x
    x = 13,310,216,412.54/105,289.23
  6. Step 6: Final answer
    x = 126,415.74

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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.