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Finding the Fourth Proportional to 116,178.92, 160,317.54 and 65,882.60

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Solution

The fourth proportional to 116,178.92, 160,317.54 and 65,882.60 is: 90,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,178.92 : 160,317.54 = 65,882.60 : x
  2. Step 2: Convert to fraction form
    116,178.92/160,317.54 = 65,882.60/x
  3. Step 3: Cross multiply
    116,178.92x = 160,317.54 × 65,882.60
  4. Step 4: Simplify right side
    116,178.92x = 10,562,136,360.80
  5. Step 5: Solve for x
    x = 10,562,136,360.80/116,178.92
  6. Step 6: Final answer
    x = 90,912.67

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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.