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Finding the Fourth Proportional to 275,044.51, 412,486.73 and 106,527.25

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Solution

The fourth proportional to 275,044.51, 412,486.73 and 106,527.25 is: 159,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,044.51 : 412,486.73 = 106,527.25 : x
  2. Step 2: Convert to fraction form
    275,044.51/412,486.73 = 106,527.25/x
  3. Step 3: Cross multiply
    275,044.51x = 412,486.73 × 106,527.25
  4. Step 4: Simplify right side
    275,044.51x = 43,941,077,390.84
  5. Step 5: Solve for x
    x = 43,941,077,390.84/275,044.51
  6. Step 6: Final answer
    x = 159,759.88

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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.