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Finding the Fourth Proportional to 116,929.85, 161,367.87 and 65,251.46

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Solution

The fourth proportional to 116,929.85, 161,367.87 and 65,251.46 is: 90,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,929.85 : 161,367.87 = 65,251.46 : x
  2. Step 2: Convert to fraction form
    116,929.85/161,367.87 = 65,251.46/x
  3. Step 3: Cross multiply
    116,929.85x = 161,367.87 × 65,251.46
  4. Step 4: Simplify right side
    116,929.85x = 10,529,488,307.75
  5. Step 5: Solve for x
    x = 10,529,488,307.75/116,929.85
  6. Step 6: Final answer
    x = 90,049.62

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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.