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Finding the Fourth Proportional to 275,999.84, 414,160.40 and 116,064.20

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Solution

The fourth proportional to 275,999.84, 414,160.40 and 116,064.20 is: 174,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,999.84 : 414,160.40 = 116,064.20 : x
  2. Step 2: Convert to fraction form
    275,999.84/414,160.40 = 116,064.20/x
  3. Step 3: Cross multiply
    275,999.84x = 414,160.40 × 116,064.20
  4. Step 4: Simplify right side
    275,999.84x = 48,069,195,497.68
  5. Step 5: Solve for x
    x = 48,069,195,497.68/275,999.84
  6. Step 6: Final answer
    x = 174,163.85

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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.