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Finding the Fourth Proportional to 274,970.97, 412,509.07 and 95,049.89

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Solution

The fourth proportional to 274,970.97, 412,509.07 and 95,049.89 is: 142,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,970.97 : 412,509.07 = 95,049.89 : x
  2. Step 2: Convert to fraction form
    274,970.97/412,509.07 = 95,049.89/x
  3. Step 3: Cross multiply
    274,970.97x = 412,509.07 × 95,049.89
  4. Step 4: Simplify right side
    274,970.97x = 39,208,941,330.68
  5. Step 5: Solve for x
    x = 39,208,941,330.68/274,970.97
  6. Step 6: Final answer
    x = 142,593.02

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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.