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Finding the Fourth Proportional to 138,234.60, 190,769.99 and 77,826.02

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Solution

The fourth proportional to 138,234.60, 190,769.99 and 77,826.02 is: 107,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,234.60 : 190,769.99 = 77,826.02 : x
  2. Step 2: Convert to fraction form
    138,234.60/190,769.99 = 77,826.02/x
  3. Step 3: Cross multiply
    138,234.60x = 190,769.99 × 77,826.02
  4. Step 4: Simplify right side
    138,234.60x = 14,846,867,714.16
  5. Step 5: Solve for x
    x = 14,846,867,714.16/138,234.60
  6. Step 6: Final answer
    x = 107,403.41

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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.