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Finding the Fourth Proportional to 312,194.56, 468,293.04 and 75,536.86

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Solution

The fourth proportional to 312,194.56, 468,293.04 and 75,536.86 is: 113,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,194.56 : 468,293.04 = 75,536.86 : x
  2. Step 2: Convert to fraction form
    312,194.56/468,293.04 = 75,536.86/x
  3. Step 3: Cross multiply
    312,194.56x = 468,293.04 × 75,536.86
  4. Step 4: Simplify right side
    312,194.56x = 35,373,385,801.45
  5. Step 5: Solve for x
    x = 35,373,385,801.45/312,194.56
  6. Step 6: Final answer
    x = 113,305.58

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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.