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Finding the Fourth Proportional to 275,080.47, 412,585.61 and 106,485.42

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Solution

The fourth proportional to 275,080.47, 412,585.61 and 106,485.42 is: 159,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,080.47 : 412,585.61 = 106,485.42 : x
  2. Step 2: Convert to fraction form
    275,080.47/412,585.61 = 106,485.42/x
  3. Step 3: Cross multiply
    275,080.47x = 412,585.61 × 106,485.42
  4. Step 4: Simplify right side
    275,080.47x = 43,934,351,434.38
  5. Step 5: Solve for x
    x = 43,934,351,434.38/275,080.47
  6. Step 6: Final answer
    x = 159,714.54

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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.