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Finding the Fourth Proportional to 177,383.20, 266,074.80 and 165,632.80

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Solution

The fourth proportional to 177,383.20, 266,074.80 and 165,632.80 is: 248,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,383.20 : 266,074.80 = 165,632.80 : x
  2. Step 2: Convert to fraction form
    177,383.20/266,074.80 = 165,632.80/x
  3. Step 3: Cross multiply
    177,383.20x = 266,074.80 × 165,632.80
  4. Step 4: Simplify right side
    177,383.20x = 44,070,714,133.44
  5. Step 5: Solve for x
    x = 44,070,714,133.44/177,383.20
  6. Step 6: Final answer
    x = 248,449.20

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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.