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Finding the Fourth Proportional to 209,255.38, 288,775.71 and 113,762.44

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Solution

The fourth proportional to 209,255.38, 288,775.71 and 113,762.44 is: 156,993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,255.38 : 288,775.71 = 113,762.44 : x
  2. Step 2: Convert to fraction form
    209,255.38/288,775.71 = 113,762.44/x
  3. Step 3: Cross multiply
    209,255.38x = 288,775.71 × 113,762.44
  4. Step 4: Simplify right side
    209,255.38x = 32,851,829,382.33
  5. Step 5: Solve for x
    x = 32,851,829,382.33/209,255.38
  6. Step 6: Final answer
    x = 156,993.95

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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.