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Finding the Fourth Proportional to 195,970.50, 270,488.26 and 120,475.26

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Solution

The fourth proportional to 195,970.50, 270,488.26 and 120,475.26 is: 166,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,970.50 : 270,488.26 = 120,475.26 : x
  2. Step 2: Convert to fraction form
    195,970.50/270,488.26 = 120,475.26/x
  3. Step 3: Cross multiply
    195,970.50x = 270,488.26 × 120,475.26
  4. Step 4: Simplify right side
    195,970.50x = 32,587,143,450.45
  5. Step 5: Solve for x
    x = 32,587,143,450.45/195,970.50
  6. Step 6: Final answer
    x = 166,285.96

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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.