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Finding the Fourth Proportional to 192,047.80, 288,071.70 and 165,782.20

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Solution

The fourth proportional to 192,047.80, 288,071.70 and 165,782.20 is: 248,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,047.80 : 288,071.70 = 165,782.20 : x
  2. Step 2: Convert to fraction form
    192,047.80/288,071.70 = 165,782.20/x
  3. Step 3: Cross multiply
    192,047.80x = 288,071.70 × 165,782.20
  4. Step 4: Simplify right side
    192,047.80x = 47,757,160,183.74
  5. Step 5: Solve for x
    x = 47,757,160,183.74/192,047.80
  6. Step 6: Final answer
    x = 248,673.30

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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.