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Finding the Fourth Proportional to 306,625.92, 459,902.66 and 82,003.76

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Solution

The fourth proportional to 306,625.92, 459,902.66 and 82,003.76 is: 122,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,625.92 : 459,902.66 = 82,003.76 : x
  2. Step 2: Convert to fraction form
    306,625.92/459,902.66 = 82,003.76/x
  3. Step 3: Cross multiply
    306,625.92x = 459,902.66 × 82,003.76
  4. Step 4: Simplify right side
    306,625.92x = 37,713,748,424.64
  5. Step 5: Solve for x
    x = 37,713,748,424.64/306,625.92
  6. Step 6: Final answer
    x = 122,995.96

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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.