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Finding the Fourth Proportional to 192,661.80, 288,992.70 and 133,564.20

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Solution

The fourth proportional to 192,661.80, 288,992.70 and 133,564.20 is: 200,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,661.80 : 288,992.70 = 133,564.20 : x
  2. Step 2: Convert to fraction form
    192,661.80/288,992.70 = 133,564.20/x
  3. Step 3: Cross multiply
    192,661.80x = 288,992.70 × 133,564.20
  4. Step 4: Simplify right side
    192,661.80x = 38,599,078,781.34
  5. Step 5: Solve for x
    x = 38,599,078,781.34/192,661.80
  6. Step 6: Final answer
    x = 200,346.30

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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.