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Finding the Fourth Proportional to 261,114.98, 391,712.96 and 111,355.70

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Solution

The fourth proportional to 261,114.98, 391,712.96 and 111,355.70 is: 167,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,114.98 : 391,712.96 = 111,355.70 : x
  2. Step 2: Convert to fraction form
    261,114.98/391,712.96 = 111,355.70/x
  3. Step 3: Cross multiply
    261,114.98x = 391,712.96 × 111,355.70
  4. Step 4: Simplify right side
    261,114.98x = 43,619,469,179.70
  5. Step 5: Solve for x
    x = 43,619,469,179.70/261,114.98
  6. Step 6: Final answer
    x = 167,050.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.