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Finding the Fourth Proportional to 116,538.60, 160,823.78 and 66,234.60

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Solution

The fourth proportional to 116,538.60, 160,823.78 and 66,234.60 is: 91,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,538.60 : 160,823.78 = 66,234.60 : x
  2. Step 2: Convert to fraction form
    116,538.60/160,823.78 = 66,234.60/x
  3. Step 3: Cross multiply
    116,538.60x = 160,823.78 × 66,234.60
  4. Step 4: Simplify right side
    116,538.60x = 10,652,098,738.79
  5. Step 5: Solve for x
    x = 10,652,098,738.79/116,538.60
  6. Step 6: Final answer
    x = 91,404.04

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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.