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Finding the Fourth Proportional to 263,609.16, 363,766.22 and 156,189.08

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Solution

The fourth proportional to 263,609.16, 363,766.22 and 156,189.08 is: 215,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,609.16 : 363,766.22 = 156,189.08 : x
  2. Step 2: Convert to fraction form
    263,609.16/363,766.22 = 156,189.08/x
  3. Step 3: Cross multiply
    263,609.16x = 363,766.22 × 156,189.08
  4. Step 4: Simplify right side
    263,609.16x = 56,816,311,236.88
  5. Step 5: Solve for x
    x = 56,816,311,236.88/263,609.16
  6. Step 6: Final answer
    x = 215,532.39

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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.