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Finding the Fourth Proportional to 104,998.44, 144,427.14 and 84,729

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Solution

The fourth proportional to 104,998.44, 144,427.14 and 84,729 is: 116,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,998.44 : 144,427.14 = 84,729 : x
  2. Step 2: Convert to fraction form
    104,998.44/144,427.14 = 84,729/x
  3. Step 3: Cross multiply
    104,998.44x = 144,427.14 × 84,729
  4. Step 4: Simplify right side
    104,998.44x = 12,237,167,145.06
  5. Step 5: Solve for x
    x = 12,237,167,145.06/104,998.44
  6. Step 6: Final answer
    x = 116,546.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.