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Finding the Fourth Proportional to 274,838.85, 412,247.49 and 114,873.47

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Solution

The fourth proportional to 274,838.85, 412,247.49 and 114,873.47 is: 172,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,838.85 : 412,247.49 = 114,873.47 : x
  2. Step 2: Convert to fraction form
    274,838.85/412,247.49 = 114,873.47/x
  3. Step 3: Cross multiply
    274,838.85x = 412,247.49 × 114,873.47
  4. Step 4: Simplify right side
    274,838.85x = 47,356,297,731.10
  5. Step 5: Solve for x
    x = 47,356,297,731.10/274,838.85
  6. Step 6: Final answer
    x = 172,305.69

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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.