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Finding the Fourth Proportional to 178,826.40, 268,239.60 and 54,167.40

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Solution

The fourth proportional to 178,826.40, 268,239.60 and 54,167.40 is: 81,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,826.40 : 268,239.60 = 54,167.40 : x
  2. Step 2: Convert to fraction form
    178,826.40/268,239.60 = 54,167.40/x
  3. Step 3: Cross multiply
    178,826.40x = 268,239.60 × 54,167.40
  4. Step 4: Simplify right side
    178,826.40x = 14,529,841,709.04
  5. Step 5: Solve for x
    x = 14,529,841,709.04/178,826.40
  6. Step 6: Final answer
    x = 81,251.10

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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.