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Finding the Fourth Proportional to 142,569.96, 196,745.16 and 78,906.12

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Solution

The fourth proportional to 142,569.96, 196,745.16 and 78,906.12 is: 108,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,569.96 : 196,745.16 = 78,906.12 : x
  2. Step 2: Convert to fraction form
    142,569.96/196,745.16 = 78,906.12/x
  3. Step 3: Cross multiply
    142,569.96x = 196,745.16 × 78,906.12
  4. Step 4: Simplify right side
    142,569.96x = 15,524,397,204.38
  5. Step 5: Solve for x
    x = 15,524,397,204.38/142,569.96
  6. Step 6: Final answer
    x = 108,889.68

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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.