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Finding the Fourth Proportional to 178,734.42, 268,101.41 and 45,614.68

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Solution

The fourth proportional to 178,734.42, 268,101.41 and 45,614.68 is: 68,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,734.42 : 268,101.41 = 45,614.68 : x
  2. Step 2: Convert to fraction form
    178,734.42/268,101.41 = 45,614.68/x
  3. Step 3: Cross multiply
    178,734.42x = 268,101.41 × 45,614.68
  4. Step 4: Simplify right side
    178,734.42x = 12,229,359,126.37
  5. Step 5: Solve for x
    x = 12,229,359,126.37/178,734.42
  6. Step 6: Final answer
    x = 68,421.96

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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.