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Finding the Fourth Proportional to 148,805.62, 205,353.24 and 80,823.94

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Solution

The fourth proportional to 148,805.62, 205,353.24 and 80,823.94 is: 111,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,805.62 : 205,353.24 = 80,823.94 : x
  2. Step 2: Convert to fraction form
    148,805.62/205,353.24 = 80,823.94/x
  3. Step 3: Cross multiply
    148,805.62x = 205,353.24 × 80,823.94
  4. Step 4: Simplify right side
    148,805.62x = 16,597,457,948.57
  5. Step 5: Solve for x
    x = 16,597,457,948.57/148,805.62
  6. Step 6: Final answer
    x = 111,537.84

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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.