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Finding the Fourth Proportional to 209,076.88, 312,035.31 and 188,898.78

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Solution

The fourth proportional to 209,076.88, 312,035.31 and 188,898.78 is: 281,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,076.88 : 312,035.31 = 188,898.78 : x
  2. Step 2: Convert to fraction form
    209,076.88/312,035.31 = 188,898.78/x
  3. Step 3: Cross multiply
    209,076.88x = 312,035.31 × 188,898.78
  4. Step 4: Simplify right side
    209,076.88x = 58,943,089,375.92
  5. Step 5: Solve for x
    x = 58,943,089,375.92/209,076.88
  6. Step 6: Final answer
    x = 281,920.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.