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Finding the Fourth Proportional to 209,151.38, 288,627.59 and 113,658.09

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Solution

The fourth proportional to 209,151.38, 288,627.59 and 113,658.09 is: 156,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,151.38 : 288,627.59 = 113,658.09 : x
  2. Step 2: Convert to fraction form
    209,151.38/288,627.59 = 113,658.09/x
  3. Step 3: Cross multiply
    209,151.38x = 288,627.59 × 113,658.09
  4. Step 4: Simplify right side
    209,151.38x = 32,804,859,163.17
  5. Step 5: Solve for x
    x = 32,804,859,163.17/209,151.38
  6. Step 6: Final answer
    x = 156,847.44

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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.