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Finding the Fourth Proportional to 137,819.60, 190,211.76 and 84,135.80

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Solution

The fourth proportional to 137,819.60, 190,211.76 and 84,135.80 is: 116,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,819.60 : 190,211.76 = 84,135.80 : x
  2. Step 2: Convert to fraction form
    137,819.60/190,211.76 = 84,135.80/x
  3. Step 3: Cross multiply
    137,819.60x = 190,211.76 × 84,135.80
  4. Step 4: Simplify right side
    137,819.60x = 16,003,618,597.01
  5. Step 5: Solve for x
    x = 16,003,618,597.01/137,819.60
  6. Step 6: Final answer
    x = 116,120.05

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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.