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Finding the Fourth Proportional to 192,866.49, 266,149.67 and 106,828.29

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Solution

The fourth proportional to 192,866.49, 266,149.67 and 106,828.29 is: 147,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,866.49 : 266,149.67 = 106,828.29 : x
  2. Step 2: Convert to fraction form
    192,866.49/266,149.67 = 106,828.29/x
  3. Step 3: Cross multiply
    192,866.49x = 266,149.67 × 106,828.29
  4. Step 4: Simplify right side
    192,866.49x = 28,432,313,596.02
  5. Step 5: Solve for x
    x = 28,432,313,596.02/192,866.49
  6. Step 6: Final answer
    x = 147,419.67

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1.5x scale

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.