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Finding the Fourth Proportional to 143,411.16, 197,912.24 and 78,883.14

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Solution

The fourth proportional to 143,411.16, 197,912.24 and 78,883.14 is: 108,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,411.16 : 197,912.24 = 78,883.14 : x
  2. Step 2: Convert to fraction form
    143,411.16/197,912.24 = 78,883.14/x
  3. Step 3: Cross multiply
    143,411.16x = 197,912.24 × 78,883.14
  4. Step 4: Simplify right side
    143,411.16x = 15,611,938,935.63
  5. Step 5: Solve for x
    x = 15,611,938,935.63/143,411.16
  6. Step 6: Final answer
    x = 108,861.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.