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Finding the Fourth Proportional to 143,410.38, 197,906.72 and 78,886.23

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Solution

The fourth proportional to 143,410.38, 197,906.72 and 78,886.23 is: 108,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,410.38 : 197,906.72 = 78,886.23 : x
  2. Step 2: Convert to fraction form
    143,410.38/197,906.72 = 78,886.23/x
  3. Step 3: Cross multiply
    143,410.38x = 197,906.72 × 78,886.23
  4. Step 4: Simplify right side
    143,410.38x = 15,612,115,328.29
  5. Step 5: Solve for x
    x = 15,612,115,328.29/143,410.38
  6. Step 6: Final answer
    x = 108,863.22

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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.