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Finding the Fourth Proportional to 195,745.60, 293,695.20 and 71,099.20

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Solution

The fourth proportional to 195,745.60, 293,695.20 and 71,099.20 is: 106,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,745.60 : 293,695.20 = 71,099.20 : x
  2. Step 2: Convert to fraction form
    195,745.60/293,695.20 = 71,099.20/x
  3. Step 3: Cross multiply
    195,745.60x = 293,695.20 × 71,099.20
  4. Step 4: Simplify right side
    195,745.60x = 20,881,493,763.84
  5. Step 5: Solve for x
    x = 20,881,493,763.84/195,745.60
  6. Step 6: Final answer
    x = 106,676.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.