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Finding the Fourth Proportional to 275,966.48, 414,080.38 and 116,077.40

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Solution

The fourth proportional to 275,966.48, 414,080.38 and 116,077.40 is: 174,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,966.48 : 414,080.38 = 116,077.40 : x
  2. Step 2: Convert to fraction form
    275,966.48/414,080.38 = 116,077.40/x
  3. Step 3: Cross multiply
    275,966.48x = 414,080.38 × 116,077.40
  4. Step 4: Simplify right side
    275,966.48x = 48,065,373,901.41
  5. Step 5: Solve for x
    x = 48,065,373,901.41/275,966.48
  6. Step 6: Final answer
    x = 174,171.06

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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.