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Finding the Fourth Proportional to 82,714.26, 113,402.03 and 81,219.51

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Solution

The fourth proportional to 82,714.26, 113,402.03 and 81,219.51 is: 111,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714.26 : 113,402.03 = 81,219.51 : x
  2. Step 2: Convert to fraction form
    82,714.26/113,402.03 = 81,219.51/x
  3. Step 3: Cross multiply
    82,714.26x = 113,402.03 × 81,219.51
  4. Step 4: Simplify right side
    82,714.26x = 9,210,456,903.51
  5. Step 5: Solve for x
    x = 9,210,456,903.51/82,714.26
  6. Step 6: Final answer
    x = 111,352.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.