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Finding the Fourth Proportional to 209,286.96, 288,813.96 and 113,793.66

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Solution

The fourth proportional to 209,286.96, 288,813.96 and 113,793.66 is: 157,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,286.96 : 288,813.96 = 113,793.66 : x
  2. Step 2: Convert to fraction form
    209,286.96/288,813.96 = 113,793.66/x
  3. Step 3: Cross multiply
    209,286.96x = 288,813.96 × 113,793.66
  4. Step 4: Simplify right side
    209,286.96x = 32,865,197,567.49
  5. Step 5: Solve for x
    x = 32,865,197,567.49/209,286.96
  6. Step 6: Final answer
    x = 157,034.14

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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.