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Finding the Fourth Proportional to 363,921.54, 545,965.38 and 111,237.96

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Solution

The fourth proportional to 363,921.54, 545,965.38 and 111,237.96 is: 166,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,921.54 : 545,965.38 = 111,237.96 : x
  2. Step 2: Convert to fraction form
    363,921.54/545,965.38 = 111,237.96/x
  3. Step 3: Cross multiply
    363,921.54x = 545,965.38 × 111,237.96
  4. Step 4: Simplify right side
    363,921.54x = 60,732,075,101.82
  5. Step 5: Solve for x
    x = 60,732,075,101.82/363,921.54
  6. Step 6: Final answer
    x = 166,882.33

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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.