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Finding the Fourth Proportional to 178,965.40, 268,441.92 and 45,846.97

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Solution

The fourth proportional to 178,965.40, 268,441.92 and 45,846.97 is: 68,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,965.40 : 268,441.92 = 45,846.97 : x
  2. Step 2: Convert to fraction form
    178,965.40/268,441.92 = 45,846.97/x
  3. Step 3: Cross multiply
    178,965.40x = 268,441.92 × 45,846.97
  4. Step 4: Simplify right side
    178,965.40x = 12,307,248,652.98
  5. Step 5: Solve for x
    x = 12,307,248,652.98/178,965.40
  6. Step 6: Final answer
    x = 68,768.87

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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.