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Finding the Fourth Proportional to 180,902.66, 271,366.94 and 47,781.59

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Solution

The fourth proportional to 180,902.66, 271,366.94 and 47,781.59 is: 71,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.66 : 271,366.94 = 47,781.59 : x
  2. Step 2: Convert to fraction form
    180,902.66/271,366.94 = 47,781.59/x
  3. Step 3: Cross multiply
    180,902.66x = 271,366.94 × 47,781.59
  4. Step 4: Simplify right side
    180,902.66x = 12,966,342,270.89
  5. Step 5: Solve for x
    x = 12,966,342,270.89/180,902.66
  6. Step 6: Final answer
    x = 71,675.80

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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.