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Finding the Fourth Proportional to 275,312.52, 413,119.17 and 106,839.45

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Solution

The fourth proportional to 275,312.52, 413,119.17 and 106,839.45 is: 160,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,312.52 : 413,119.17 = 106,839.45 : x
  2. Step 2: Convert to fraction form
    275,312.52/413,119.17 = 106,839.45/x
  3. Step 3: Cross multiply
    275,312.52x = 413,119.17 × 106,839.45
  4. Step 4: Simplify right side
    275,312.52x = 44,137,424,907.26
  5. Step 5: Solve for x
    x = 44,137,424,907.26/275,312.52
  6. Step 6: Final answer
    x = 160,317.54

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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.