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Finding the Fourth Proportional to 149,146.68, 205,823.30 and 81,164.19

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Solution

The fourth proportional to 149,146.68, 205,823.30 and 81,164.19 is: 112,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,146.68 : 205,823.30 = 81,164.19 : x
  2. Step 2: Convert to fraction form
    149,146.68/205,823.30 = 81,164.19/x
  3. Step 3: Cross multiply
    149,146.68x = 205,823.30 × 81,164.19
  4. Step 4: Simplify right side
    149,146.68x = 16,705,481,021.81
  5. Step 5: Solve for x
    x = 16,705,481,021.81/149,146.68
  6. Step 6: Final answer
    x = 112,007.06

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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.