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Finding the Fourth Proportional to 178,892.64, 268,339.68 and 54,234.72

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Solution

The fourth proportional to 178,892.64, 268,339.68 and 54,234.72 is: 81,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,892.64 : 268,339.68 = 54,234.72 : x
  2. Step 2: Convert to fraction form
    178,892.64/268,339.68 = 54,234.72/x
  3. Step 3: Cross multiply
    178,892.64x = 268,339.68 × 54,234.72
  4. Step 4: Simplify right side
    178,892.64x = 14,553,327,409.69
  5. Step 5: Solve for x
    x = 14,553,327,409.69/178,892.64
  6. Step 6: Final answer
    x = 81,352.30

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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.