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Finding the Fourth Proportional to 84,198.83, 116,237.43 and 65,035.71

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Solution

The fourth proportional to 84,198.83, 116,237.43 and 65,035.71 is: 89,782.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198.83 : 116,237.43 = 65,035.71 : x
  2. Step 2: Convert to fraction form
    84,198.83/116,237.43 = 65,035.71/x
  3. Step 3: Cross multiply
    84,198.83x = 116,237.43 × 65,035.71
  4. Step 4: Simplify right side
    84,198.83x = 7,559,583,788.63
  5. Step 5: Solve for x
    x = 7,559,583,788.63/84,198.83
  6. Step 6: Final answer
    x = 89,782.53

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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.