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Finding the Fourth Proportional to 276,116.36, 414,174.96 and 83,992.48

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Solution

The fourth proportional to 276,116.36, 414,174.96 and 83,992.48 is: 125,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,116.36 : 414,174.96 = 83,992.48 : x
  2. Step 2: Convert to fraction form
    276,116.36/414,174.96 = 83,992.48/x
  3. Step 3: Cross multiply
    276,116.36x = 414,174.96 × 83,992.48
  4. Step 4: Simplify right side
    276,116.36x = 34,787,582,044.30
  5. Step 5: Solve for x
    x = 34,787,582,044.30/276,116.36
  6. Step 6: Final answer
    x = 125,988.85

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1.5x scale

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.