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Finding the Fourth Proportional to 275,019.85, 412,530.09 and 75,341.95

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Solution

The fourth proportional to 275,019.85, 412,530.09 and 75,341.95 is: 113,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,019.85 : 412,530.09 = 75,341.95 : x
  2. Step 2: Convert to fraction form
    275,019.85/412,530.09 = 75,341.95/x
  3. Step 3: Cross multiply
    275,019.85x = 412,530.09 × 75,341.95
  4. Step 4: Simplify right side
    275,019.85x = 31,080,821,414.28
  5. Step 5: Solve for x
    x = 31,080,821,414.28/275,019.85
  6. Step 6: Final answer
    x = 113,013.01

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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.