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Finding the Fourth Proportional to 180,885.22, 271,340.82 and 47,764.14

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Solution

The fourth proportional to 180,885.22, 271,340.82 and 47,764.14 is: 71,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,885.22 : 271,340.82 = 47,764.14 : x
  2. Step 2: Convert to fraction form
    180,885.22/271,340.82 = 47,764.14/x
  3. Step 3: Cross multiply
    180,885.22x = 271,340.82 × 47,764.14
  4. Step 4: Simplify right side
    180,885.22x = 12,960,360,914.19
  5. Step 5: Solve for x
    x = 12,960,360,914.19/180,885.22
  6. Step 6: Final answer
    x = 71,649.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.