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Finding the Fourth Proportional to 143,022.60, 199,969.20 and 143,022.60

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Solution

The fourth proportional to 143,022.60, 199,969.20 and 143,022.60 is: 199,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,022.60 : 199,969.20 = 143,022.60 : x
  2. Step 2: Convert to fraction form
    143,022.60/199,969.20 = 143,022.60/x
  3. Step 3: Cross multiply
    143,022.60x = 199,969.20 × 143,022.60
  4. Step 4: Simplify right side
    143,022.60x = 28,600,114,903.92
  5. Step 5: Solve for x
    x = 28,600,114,903.92/143,022.60
  6. Step 6: Final answer
    x = 199,969.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.