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Finding the Fourth Proportional to 178,996.36, 268,500.54 and 54,337

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Solution

The fourth proportional to 178,996.36, 268,500.54 and 54,337 is: 81,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,996.36 : 268,500.54 = 54,337 : x
  2. Step 2: Convert to fraction form
    178,996.36/268,500.54 = 54,337/x
  3. Step 3: Cross multiply
    178,996.36x = 268,500.54 × 54,337
  4. Step 4: Simplify right side
    178,996.36x = 14,589,513,841.98
  5. Step 5: Solve for x
    x = 14,589,513,841.98/178,996.36
  6. Step 6: Final answer
    x = 81,507.32

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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.