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Finding the Fourth Proportional to 116,096.09, 160,214.42 and 65,120.14

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Solution

The fourth proportional to 116,096.09, 160,214.42 and 65,120.14 is: 89,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,096.09 : 160,214.42 = 65,120.14 : x
  2. Step 2: Convert to fraction form
    116,096.09/160,214.42 = 65,120.14/x
  3. Step 3: Cross multiply
    116,096.09x = 160,214.42 × 65,120.14
  4. Step 4: Simplify right side
    116,096.09x = 10,433,184,734.28
  5. Step 5: Solve for x
    x = 10,433,184,734.28/116,096.09
  6. Step 6: Final answer
    x = 89,866.80

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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.