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Finding the Fourth Proportional to 223,186.14, 308,065.14 and 132,556.86

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Solution

The fourth proportional to 223,186.14, 308,065.14 and 132,556.86 is: 182,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,186.14 : 308,065.14 = 132,556.86 : x
  2. Step 2: Convert to fraction form
    223,186.14/308,065.14 = 132,556.86/x
  3. Step 3: Cross multiply
    223,186.14x = 308,065.14 × 132,556.86
  4. Step 4: Simplify right side
    223,186.14x = 40,836,147,633.86
  5. Step 5: Solve for x
    x = 40,836,147,633.86/223,186.14
  6. Step 6: Final answer
    x = 182,969.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.