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Finding the Fourth Proportional to 144,491.96, 199,419 and 80,834.06

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Solution

The fourth proportional to 144,491.96, 199,419 and 80,834.06 is: 111,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,491.96 : 199,419 = 80,834.06 : x
  2. Step 2: Convert to fraction form
    144,491.96/199,419 = 80,834.06/x
  3. Step 3: Cross multiply
    144,491.96x = 199,419 × 80,834.06
  4. Step 4: Simplify right side
    144,491.96x = 16,119,847,411.14
  5. Step 5: Solve for x
    x = 16,119,847,411.14/144,491.96
  6. Step 6: Final answer
    x = 111,562.24

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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.