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Finding the Fourth Proportional to 225,897.96, 311,741.60 and 123,923.60

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Solution

The fourth proportional to 225,897.96, 311,741.60 and 123,923.60 is: 171,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,897.96 : 311,741.60 = 123,923.60 : x
  2. Step 2: Convert to fraction form
    225,897.96/311,741.60 = 123,923.60/x
  3. Step 3: Cross multiply
    225,897.96x = 311,741.60 × 123,923.60
  4. Step 4: Simplify right side
    225,897.96x = 38,632,139,163.43
  5. Step 5: Solve for x
    x = 38,632,139,163.43/225,897.96
  6. Step 6: Final answer
    x = 171,015.88

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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.