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Finding the Fourth Proportional to 137,820.56, 190,213.14 and 84,136.80

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Solution

The fourth proportional to 137,820.56, 190,213.14 and 84,136.80 is: 116,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,820.56 : 190,213.14 = 84,136.80 : x
  2. Step 2: Convert to fraction form
    137,820.56/190,213.14 = 84,136.80/x
  3. Step 3: Cross multiply
    137,820.56x = 190,213.14 × 84,136.80
  4. Step 4: Simplify right side
    137,820.56x = 16,003,924,917.55
  5. Step 5: Solve for x
    x = 16,003,924,917.55/137,820.56
  6. Step 6: Final answer
    x = 116,121.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.