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Finding the Fourth Proportional to 116,204.88, 160,355.62 and 65,208.90

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Solution

The fourth proportional to 116,204.88, 160,355.62 and 65,208.90 is: 89,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,204.88 : 160,355.62 = 65,208.90 : x
  2. Step 2: Convert to fraction form
    116,204.88/160,355.62 = 65,208.90/x
  3. Step 3: Cross multiply
    116,204.88x = 160,355.62 × 65,208.90
  4. Step 4: Simplify right side
    116,204.88x = 10,456,613,589.02
  5. Step 5: Solve for x
    x = 10,456,613,589.02/116,204.88
  6. Step 6: Final answer
    x = 89,984.29

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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.