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Finding the Fourth Proportional to 137,797.56, 190,111.50 and 86,814.90

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Solution

The fourth proportional to 137,797.56, 190,111.50 and 86,814.90 is: 119,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797.56 : 190,111.50 = 86,814.90 : x
  2. Step 2: Convert to fraction form
    137,797.56/190,111.50 = 86,814.90/x
  3. Step 3: Cross multiply
    137,797.56x = 190,111.50 × 86,814.90
  4. Step 4: Simplify right side
    137,797.56x = 16,504,510,861.35
  5. Step 5: Solve for x
    x = 16,504,510,861.35/137,797.56
  6. Step 6: Final answer
    x = 119,773.61

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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.