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Finding the Fourth Proportional to 178,109.41, 267,181.93 and 65,819.11

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Solution

The fourth proportional to 178,109.41, 267,181.93 and 65,819.11 is: 98,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,109.41 : 267,181.93 = 65,819.11 : x
  2. Step 2: Convert to fraction form
    178,109.41/267,181.93 = 65,819.11/x
  3. Step 3: Cross multiply
    178,109.41x = 267,181.93 × 65,819.11
  4. Step 4: Simplify right side
    178,109.41x = 17,585,675,340.22
  5. Step 5: Solve for x
    x = 17,585,675,340.22/178,109.41
  6. Step 6: Final answer
    x = 98,735.24

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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.