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Finding the Fourth Proportional to 116,914.88, 161,304.32 and 71,545.60

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Solution

The fourth proportional to 116,914.88, 161,304.32 and 71,545.60 is: 98,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,914.88 : 161,304.32 = 71,545.60 : x
  2. Step 2: Convert to fraction form
    116,914.88/161,304.32 = 71,545.60/x
  3. Step 3: Cross multiply
    116,914.88x = 161,304.32 × 71,545.60
  4. Step 4: Simplify right side
    116,914.88x = 11,540,614,356.99
  5. Step 5: Solve for x
    x = 11,540,614,356.99/116,914.88
  6. Step 6: Final answer
    x = 98,709.54

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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.