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Finding the Fourth Proportional to 180,813.49, 271,238.46 and 47,702.95

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Solution

The fourth proportional to 180,813.49, 271,238.46 and 47,702.95 is: 71,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,813.49 : 271,238.46 = 47,702.95 : x
  2. Step 2: Convert to fraction form
    180,813.49/271,238.46 = 47,702.95/x
  3. Step 3: Cross multiply
    180,813.49x = 271,238.46 × 47,702.95
  4. Step 4: Simplify right side
    180,813.49x = 12,938,873,100.75
  5. Step 5: Solve for x
    x = 12,938,873,100.75/180,813.49
  6. Step 6: Final answer
    x = 71,559.23

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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.