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Finding the Fourth Proportional to 192,020.80, 288,160.80 and 107,780.80

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Solution

The fourth proportional to 192,020.80, 288,160.80 and 107,780.80 is: 161,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,020.80 : 288,160.80 = 107,780.80 : x
  2. Step 2: Convert to fraction form
    192,020.80/288,160.80 = 107,780.80/x
  3. Step 3: Cross multiply
    192,020.80x = 288,160.80 × 107,780.80
  4. Step 4: Simplify right side
    192,020.80x = 31,058,201,552.64
  5. Step 5: Solve for x
    x = 31,058,201,552.64/192,020.80
  6. Step 6: Final answer
    x = 161,743.94

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1.5x scale

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.