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Finding the Fourth Proportional to 177,556.80, 265,989.60 and 107,227.20

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Solution

The fourth proportional to 177,556.80, 265,989.60 and 107,227.20 is: 160,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,556.80 : 265,989.60 = 107,227.20 : x
  2. Step 2: Convert to fraction form
    177,556.80/265,989.60 = 107,227.20/x
  3. Step 3: Cross multiply
    177,556.80x = 265,989.60 × 107,227.20
  4. Step 4: Simplify right side
    177,556.80x = 28,521,320,037.12
  5. Step 5: Solve for x
    x = 28,521,320,037.12/177,556.80
  6. Step 6: Final answer
    x = 160,632.09

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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.