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Finding the Fourth Proportional to 144,501.14, 199,419.09 and 80,840

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Solution

The fourth proportional to 144,501.14, 199,419.09 and 80,840 is: 111,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,501.14 : 199,419.09 = 80,840 : x
  2. Step 2: Convert to fraction form
    144,501.14/199,419.09 = 80,840/x
  3. Step 3: Cross multiply
    144,501.14x = 199,419.09 × 80,840
  4. Step 4: Simplify right side
    144,501.14x = 16,121,039,235.60
  5. Step 5: Solve for x
    x = 16,121,039,235.60/144,501.14
  6. Step 6: Final answer
    x = 111,563.41

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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.