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Finding the Fourth Proportional to 144,066, 198,834.12 and 84,450

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Solution

The fourth proportional to 144,066, 198,834.12 and 84,450 is: 116,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,066 : 198,834.12 = 84,450 : x
  2. Step 2: Convert to fraction form
    144,066/198,834.12 = 84,450/x
  3. Step 3: Cross multiply
    144,066x = 198,834.12 × 84,450
  4. Step 4: Simplify right side
    144,066x = 16,791,541,434
  5. Step 5: Solve for x
    x = 16,791,541,434/144,066
  6. Step 6: Final answer
    x = 116,554.51

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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.