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Finding the Fourth Proportional to 144,486.50, 199,406.36 and 83,234.80

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Solution

The fourth proportional to 144,486.50, 199,406.36 and 83,234.80 is: 114,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,486.50 : 199,406.36 = 83,234.80 : x
  2. Step 2: Convert to fraction form
    144,486.50/199,406.36 = 83,234.80/x
  3. Step 3: Cross multiply
    144,486.50x = 199,406.36 × 83,234.80
  4. Step 4: Simplify right side
    144,486.50x = 16,597,548,493.33
  5. Step 5: Solve for x
    x = 16,597,548,493.33/144,486.50
  6. Step 6: Final answer
    x = 114,872.66

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1.5x scale

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.