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Finding the Fourth Proportional to 275,616.44, 413,263.71 and 106,939.76

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Solution

The fourth proportional to 275,616.44, 413,263.71 and 106,939.76 is: 160,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,616.44 : 413,263.71 = 106,939.76 : x
  2. Step 2: Convert to fraction form
    275,616.44/413,263.71 = 106,939.76/x
  3. Step 3: Cross multiply
    275,616.44x = 413,263.71 × 106,939.76
  4. Step 4: Simplify right side
    275,616.44x = 44,194,319,897.79
  5. Step 5: Solve for x
    x = 44,194,319,897.79/275,616.44
  6. Step 6: Final answer
    x = 160,347.19

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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.