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Finding the Fourth Proportional to 178,137.38, 245,832.36 and 97,563.44

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Solution

The fourth proportional to 178,137.38, 245,832.36 and 97,563.44 is: 134,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,137.38 : 245,832.36 = 97,563.44 : x
  2. Step 2: Convert to fraction form
    178,137.38/245,832.36 = 97,563.44/x
  3. Step 3: Cross multiply
    178,137.38x = 245,832.36 × 97,563.44
  4. Step 4: Simplify right side
    178,137.38x = 23,984,250,704.92
  5. Step 5: Solve for x
    x = 23,984,250,704.92/178,137.38
  6. Step 6: Final answer
    x = 134,639.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.