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Finding the Fourth Proportional to 276,064.96, 413,818.44 and 107,480.20

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Solution

The fourth proportional to 276,064.96, 413,818.44 and 107,480.20 is: 161,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,064.96 : 413,818.44 = 107,480.20 : x
  2. Step 2: Convert to fraction form
    276,064.96/413,818.44 = 107,480.20/x
  3. Step 3: Cross multiply
    276,064.96x = 413,818.44 × 107,480.20
  4. Step 4: Simplify right side
    276,064.96x = 44,477,288,694.89
  5. Step 5: Solve for x
    x = 44,477,288,694.89/276,064.96
  6. Step 6: Final answer
    x = 161,111.68

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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.