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Finding the Fourth Proportional to 256,162, 384,245.16 and 89,950

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Solution

The fourth proportional to 256,162, 384,245.16 and 89,950 is: 134,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,162 : 384,245.16 = 89,950 : x
  2. Step 2: Convert to fraction form
    256,162/384,245.16 = 89,950/x
  3. Step 3: Cross multiply
    256,162x = 384,245.16 × 89,950
  4. Step 4: Simplify right side
    256,162x = 34,562,852,142
  5. Step 5: Solve for x
    x = 34,562,852,142/256,162
  6. Step 6: Final answer
    x = 134,925.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.