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Finding the Fourth Proportional to 180,672.31, 271,176.54 and 91,992.16

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Solution

The fourth proportional to 180,672.31, 271,176.54 and 91,992.16 is: 138,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,672.31 : 271,176.54 = 91,992.16 : x
  2. Step 2: Convert to fraction form
    180,672.31/271,176.54 = 91,992.16/x
  3. Step 3: Cross multiply
    180,672.31x = 271,176.54 × 91,992.16
  4. Step 4: Simplify right side
    180,672.31x = 24,946,115,655.93
  5. Step 5: Solve for x
    x = 24,946,115,655.93/180,672.31
  6. Step 6: Final answer
    x = 138,073.82

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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.