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Finding the Fourth Proportional to 116,310.62, 160,496.64 and 65,328.90

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Solution

The fourth proportional to 116,310.62, 160,496.64 and 65,328.90 is: 90,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,310.62 : 160,496.64 = 65,328.90 : x
  2. Step 2: Convert to fraction form
    116,310.62/160,496.64 = 65,328.90/x
  3. Step 3: Cross multiply
    116,310.62x = 160,496.64 × 65,328.90
  4. Step 4: Simplify right side
    116,310.62x = 10,485,068,944.90
  5. Step 5: Solve for x
    x = 10,485,068,944.90/116,310.62
  6. Step 6: Final answer
    x = 90,147.14

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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.