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Finding the Fourth Proportional to 178,241.92, 267,396.64 and 71,634.16

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Solution

The fourth proportional to 178,241.92, 267,396.64 and 71,634.16 is: 107,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,241.92 : 267,396.64 = 71,634.16 : x
  2. Step 2: Convert to fraction form
    178,241.92/267,396.64 = 71,634.16/x
  3. Step 3: Cross multiply
    178,241.92x = 267,396.64 × 71,634.16
  4. Step 4: Simplify right side
    178,241.92x = 19,154,733,693.22
  5. Step 5: Solve for x
    x = 19,154,733,693.22/178,241.92
  6. Step 6: Final answer
    x = 107,464.81

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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.