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Finding the Fourth Proportional to 143,408.19, 197,908.10 and 78,880.15

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Solution

The fourth proportional to 143,408.19, 197,908.10 and 78,880.15 is: 108,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,408.19 : 197,908.10 = 78,880.15 : x
  2. Step 2: Convert to fraction form
    143,408.19/197,908.10 = 78,880.15/x
  3. Step 3: Cross multiply
    143,408.19x = 197,908.10 × 78,880.15
  4. Step 4: Simplify right side
    143,408.19x = 15,611,020,614.22
  5. Step 5: Solve for x
    x = 15,611,020,614.22/143,408.19
  6. Step 6: Final answer
    x = 108,857.25

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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.