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Finding the Fourth Proportional to 275,965.48, 414,078.88 and 116,076.40

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Solution

The fourth proportional to 275,965.48, 414,078.88 and 116,076.40 is: 174,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,965.48 : 414,078.88 = 116,076.40 : x
  2. Step 2: Convert to fraction form
    275,965.48/414,078.88 = 116,076.40/x
  3. Step 3: Cross multiply
    275,965.48x = 414,078.88 × 116,076.40
  4. Step 4: Simplify right side
    275,965.48x = 48,064,785,706.43
  5. Step 5: Solve for x
    x = 48,064,785,706.43/275,965.48
  6. Step 6: Final answer
    x = 174,169.56

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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.