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Finding the Fourth Proportional to 84,200.33, 116,239.50 and 65,037.21

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Solution

The fourth proportional to 84,200.33, 116,239.50 and 65,037.21 is: 89,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200.33 : 116,239.50 = 65,037.21 : x
  2. Step 2: Convert to fraction form
    84,200.33/116,239.50 = 65,037.21/x
  3. Step 3: Cross multiply
    84,200.33x = 116,239.50 × 65,037.21
  4. Step 4: Simplify right side
    84,200.33x = 7,559,892,771.80
  5. Step 5: Solve for x
    x = 7,559,892,771.80/84,200.33
  6. Step 6: Final answer
    x = 89,784.60

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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.