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Finding the Fourth Proportional to 180,705.35, 271,071.35 and 47,584.69

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Solution

The fourth proportional to 180,705.35, 271,071.35 and 47,584.69 is: 71,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,705.35 : 271,071.35 = 47,584.69 : x
  2. Step 2: Convert to fraction form
    180,705.35/271,071.35 = 47,584.69/x
  3. Step 3: Cross multiply
    180,705.35x = 271,071.35 × 47,584.69
  4. Step 4: Simplify right side
    180,705.35x = 12,898,845,242.03
  5. Step 5: Solve for x
    x = 12,898,845,242.03/180,705.35
  6. Step 6: Final answer
    x = 71,380.54

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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.