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Finding the Fourth Proportional to 105,143.29, 144,729.44 and 91,690.81

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Solution

The fourth proportional to 105,143.29, 144,729.44 and 91,690.81 is: 126,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,143.29 : 144,729.44 = 91,690.81 : x
  2. Step 2: Convert to fraction form
    105,143.29/144,729.44 = 91,690.81/x
  3. Step 3: Cross multiply
    105,143.29x = 144,729.44 × 91,690.81
  4. Step 4: Simplify right side
    105,143.29x = 13,270,359,584.45
  5. Step 5: Solve for x
    x = 13,270,359,584.45/105,143.29
  6. Step 6: Final answer
    x = 126,212.14

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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.