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Finding the Fourth Proportional to 145,836, 201,231.81 and 82,172.43

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Solution

The fourth proportional to 145,836, 201,231.81 and 82,172.43 is: 113,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,836 : 201,231.81 = 82,172.43 : x
  2. Step 2: Convert to fraction form
    145,836/201,231.81 = 82,172.43/x
  3. Step 3: Cross multiply
    145,836x = 201,231.81 × 82,172.43
  4. Step 4: Simplify right side
    145,836x = 16,535,706,821.00
  5. Step 5: Solve for x
    x = 16,535,706,821.00/145,836
  6. Step 6: Final answer
    x = 113,385.63

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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.