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Finding the Fourth Proportional to 306,082, 458,860.05 and 106,376.44

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Solution

The fourth proportional to 306,082, 458,860.05 and 106,376.44 is: 159,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,082 : 458,860.05 = 106,376.44 : x
  2. Step 2: Convert to fraction form
    306,082/458,860.05 = 106,376.44/x
  3. Step 3: Cross multiply
    306,082x = 458,860.05 × 106,376.44
  4. Step 4: Simplify right side
    306,082x = 48,811,898,577.22
  5. Step 5: Solve for x
    x = 48,811,898,577.22/306,082
  6. Step 6: Final answer
    x = 159,473.27

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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.