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Finding the Fourth Proportional to 140,103.10, 209,923.80 and 80,835.40

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Solution

The fourth proportional to 140,103.10, 209,923.80 and 80,835.40 is: 121,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,103.10 : 209,923.80 = 80,835.40 : x
  2. Step 2: Convert to fraction form
    140,103.10/209,923.80 = 80,835.40/x
  3. Step 3: Cross multiply
    140,103.10x = 209,923.80 × 80,835.40
  4. Step 4: Simplify right side
    140,103.10x = 16,969,274,342.52
  5. Step 5: Solve for x
    x = 16,969,274,342.52/140,103.10
  6. Step 6: Final answer
    x = 121,119.91

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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.