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Finding the Fourth Proportional to 275,983.14, 414,135.29 and 116,047.48

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Solution

The fourth proportional to 275,983.14, 414,135.29 and 116,047.48 is: 174,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,983.14 : 414,135.29 = 116,047.48 : x
  2. Step 2: Convert to fraction form
    275,983.14/414,135.29 = 116,047.48/x
  3. Step 3: Cross multiply
    275,983.14x = 414,135.29 × 116,047.48
  4. Step 4: Simplify right side
    275,983.14x = 48,059,356,038.35
  5. Step 5: Solve for x
    x = 48,059,356,038.35/275,983.14
  6. Step 6: Final answer
    x = 174,138.74

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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.