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Finding the Fourth Proportional to 105,291.86, 144,936.61 and 91,839.68

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Solution

The fourth proportional to 105,291.86, 144,936.61 and 91,839.68 is: 126,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,291.86 : 144,936.61 = 91,839.68 : x
  2. Step 2: Convert to fraction form
    105,291.86/144,936.61 = 91,839.68/x
  3. Step 3: Cross multiply
    105,291.86x = 144,936.61 × 91,839.68
  4. Step 4: Simplify right side
    105,291.86x = 13,310,931,471.91
  5. Step 5: Solve for x
    x = 13,310,931,471.91/105,291.86
  6. Step 6: Final answer
    x = 126,419.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.