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Finding the Fourth Proportional to 492,736.24, 739,097.88 and 118,756

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Solution

The fourth proportional to 492,736.24, 739,097.88 and 118,756 is: 178,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,736.24 : 739,097.88 = 118,756 : x
  2. Step 2: Convert to fraction form
    492,736.24/739,097.88 = 118,756/x
  3. Step 3: Cross multiply
    492,736.24x = 739,097.88 × 118,756
  4. Step 4: Simplify right side
    492,736.24x = 87,772,307,837.28
  5. Step 5: Solve for x
    x = 87,772,307,837.28/492,736.24
  6. Step 6: Final answer
    x = 178,132.44

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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.