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Finding the Fourth Proportional to 363,984.56, 545,978.25 and 111,264.08

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Solution

The fourth proportional to 363,984.56, 545,978.25 and 111,264.08 is: 166,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,984.56 : 545,978.25 = 111,264.08 : x
  2. Step 2: Convert to fraction form
    363,984.56/545,978.25 = 111,264.08/x
  3. Step 3: Cross multiply
    363,984.56x = 545,978.25 × 111,264.08
  4. Step 4: Simplify right side
    363,984.56x = 60,747,769,051.21
  5. Step 5: Solve for x
    x = 60,747,769,051.21/363,984.56
  6. Step 6: Final answer
    x = 166,896.55

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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.