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Finding the Fourth Proportional to 147,905.31, 204,109.34 and 80,837.31

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Solution

The fourth proportional to 147,905.31, 204,109.34 and 80,837.31 is: 111,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,905.31 : 204,109.34 = 80,837.31 : x
  2. Step 2: Convert to fraction form
    147,905.31/204,109.34 = 80,837.31/x
  3. Step 3: Cross multiply
    147,905.31x = 204,109.34 × 80,837.31
  4. Step 4: Simplify right side
    147,905.31x = 16,499,649,587.29
  5. Step 5: Solve for x
    x = 16,499,649,587.29/147,905.31
  6. Step 6: Final answer
    x = 111,555.49

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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.