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Finding the Fourth Proportional to 116,644.50, 160,983.60 and 65,676.34

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Solution

The fourth proportional to 116,644.50, 160,983.60 and 65,676.34 is: 90,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,644.50 : 160,983.60 = 65,676.34 : x
  2. Step 2: Convert to fraction form
    116,644.50/160,983.60 = 65,676.34/x
  3. Step 3: Cross multiply
    116,644.50x = 160,983.60 × 65,676.34
  4. Step 4: Simplify right side
    116,644.50x = 10,572,813,648.02
  5. Step 5: Solve for x
    x = 10,572,813,648.02/116,644.50
  6. Step 6: Final answer
    x = 90,641.34

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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.