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Finding the Fourth Proportional to 178,896.78, 246,880.44 and 102,415.56

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Solution

The fourth proportional to 178,896.78, 246,880.44 and 102,415.56 is: 141,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,896.78 : 246,880.44 = 102,415.56 : x
  2. Step 2: Convert to fraction form
    178,896.78/246,880.44 = 102,415.56/x
  3. Step 3: Cross multiply
    178,896.78x = 246,880.44 × 102,415.56
  4. Step 4: Simplify right side
    178,896.78x = 25,284,398,515.65
  5. Step 5: Solve for x
    x = 25,284,398,515.65/178,896.78
  6. Step 6: Final answer
    x = 141,335.12

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1.5x scale

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.