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Finding the Fourth Proportional to 178,995.36, 268,499.04 and 54,336

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Solution

The fourth proportional to 178,995.36, 268,499.04 and 54,336 is: 81,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,995.36 : 268,499.04 = 54,336 : x
  2. Step 2: Convert to fraction form
    178,995.36/268,499.04 = 54,336/x
  3. Step 3: Cross multiply
    178,995.36x = 268,499.04 × 54,336
  4. Step 4: Simplify right side
    178,995.36x = 14,589,163,837.44
  5. Step 5: Solve for x
    x = 14,589,163,837.44/178,995.36
  6. Step 6: Final answer
    x = 81,505.82

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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.