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Finding the Fourth Proportional to 180,902.90, 271,367.31 and 47,781.83

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Solution

The fourth proportional to 180,902.90, 271,367.31 and 47,781.83 is: 71,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.90 : 271,367.31 = 47,781.83 : x
  2. Step 2: Convert to fraction form
    180,902.90/271,367.31 = 47,781.83/x
  3. Step 3: Cross multiply
    180,902.90x = 271,367.31 × 47,781.83
  4. Step 4: Simplify right side
    180,902.90x = 12,966,426,673.98
  5. Step 5: Solve for x
    x = 12,966,426,673.98/180,902.90
  6. Step 6: Final answer
    x = 71,676.17

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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.