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Finding the Fourth Proportional to 84,198.48, 116,214.12 and 50,658

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Solution

The fourth proportional to 84,198.48, 116,214.12 and 50,658 is: 69,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198.48 : 116,214.12 = 50,658 : x
  2. Step 2: Convert to fraction form
    84,198.48/116,214.12 = 50,658/x
  3. Step 3: Cross multiply
    84,198.48x = 116,214.12 × 50,658
  4. Step 4: Simplify right side
    84,198.48x = 5,887,174,890.96
  5. Step 5: Solve for x
    x = 5,887,174,890.96/84,198.48
  6. Step 6: Final answer
    x = 69,920.20

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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.