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Finding the Fourth Proportional to 178,679.38, 268,025.10 and 89,884.48

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Solution

The fourth proportional to 178,679.38, 268,025.10 and 89,884.48 is: 134,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,679.38 : 268,025.10 = 89,884.48 : x
  2. Step 2: Convert to fraction form
    178,679.38/268,025.10 = 89,884.48/x
  3. Step 3: Cross multiply
    178,679.38x = 268,025.10 × 89,884.48
  4. Step 4: Simplify right side
    178,679.38x = 24,091,296,740.45
  5. Step 5: Solve for x
    x = 24,091,296,740.45/178,679.38
  6. Step 6: Final answer
    x = 134,829.75

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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.