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Finding the Fourth Proportional to 116,096.34, 160,214.76 and 65,120.39

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Solution

The fourth proportional to 116,096.34, 160,214.76 and 65,120.39 is: 89,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,096.34 : 160,214.76 = 65,120.39 : x
  2. Step 2: Convert to fraction form
    116,096.34/160,214.76 = 65,120.39/x
  3. Step 3: Cross multiply
    116,096.34x = 160,214.76 × 65,120.39
  4. Step 4: Simplify right side
    116,096.34x = 10,433,247,654.96
  5. Step 5: Solve for x
    x = 10,433,247,654.96/116,096.34
  6. Step 6: Final answer
    x = 89,867.15

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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.