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Finding the Fourth Proportional to 180,846.59, 271,271.90 and 86,085.50

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Solution

The fourth proportional to 180,846.59, 271,271.90 and 86,085.50 is: 129,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,846.59 : 271,271.90 = 86,085.50 : x
  2. Step 2: Convert to fraction form
    180,846.59/271,271.90 = 86,085.50/x
  3. Step 3: Cross multiply
    180,846.59x = 271,271.90 × 86,085.50
  4. Step 4: Simplify right side
    180,846.59x = 23,352,576,006.30
  5. Step 5: Solve for x
    x = 23,352,576,006.30/180,846.59
  6. Step 6: Final answer
    x = 129,129.21

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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.