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Finding the Fourth Proportional to 178,696.44, 267,694.32 and 103,659

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Solution

The fourth proportional to 178,696.44, 267,694.32 and 103,659 is: 155,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,696.44 : 267,694.32 = 103,659 : x
  2. Step 2: Convert to fraction form
    178,696.44/267,694.32 = 103,659/x
  3. Step 3: Cross multiply
    178,696.44x = 267,694.32 × 103,659
  4. Step 4: Simplify right side
    178,696.44x = 27,748,925,516.88
  5. Step 5: Solve for x
    x = 27,748,925,516.88/178,696.44
  6. Step 6: Final answer
    x = 155,285.27

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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.