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Finding the Fourth Proportional to 276,233.64, 414,358.47 and 107,747.16

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Solution

The fourth proportional to 276,233.64, 414,358.47 and 107,747.16 is: 161,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,233.64 : 414,358.47 = 107,747.16 : x
  2. Step 2: Convert to fraction form
    276,233.64/414,358.47 = 107,747.16/x
  3. Step 3: Cross multiply
    276,233.64x = 414,358.47 × 107,747.16
  4. Step 4: Simplify right side
    276,233.64x = 44,645,948,364.45
  5. Step 5: Solve for x
    x = 44,645,948,364.45/276,233.64
  6. Step 6: Final answer
    x = 161,623.86

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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.