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Finding the Fourth Proportional to 121,057.20, 167,071.82 and 82,804.14

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Solution

The fourth proportional to 121,057.20, 167,071.82 and 82,804.14 is: 114,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,057.20 : 167,071.82 = 82,804.14 : x
  2. Step 2: Convert to fraction form
    121,057.20/167,071.82 = 82,804.14/x
  3. Step 3: Cross multiply
    121,057.20x = 167,071.82 × 82,804.14
  4. Step 4: Simplify right side
    121,057.20x = 13,834,237,959.31
  5. Step 5: Solve for x
    x = 13,834,237,959.31/121,057.20
  6. Step 6: Final answer
    x = 114,278.52

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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.