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Finding the Fourth Proportional to 140,007.83, 209,974.07 and 51,261.80

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Solution

The fourth proportional to 140,007.83, 209,974.07 and 51,261.80 is: 76,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,007.83 : 209,974.07 = 51,261.80 : x
  2. Step 2: Convert to fraction form
    140,007.83/209,974.07 = 51,261.80/x
  3. Step 3: Cross multiply
    140,007.83x = 209,974.07 × 51,261.80
  4. Step 4: Simplify right side
    140,007.83x = 10,763,647,859.81
  5. Step 5: Solve for x
    x = 10,763,647,859.81/140,007.83
  6. Step 6: Final answer
    x = 76,878.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.