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Finding the Fourth Proportional to 120,181.85, 180,314.40 and 45,323.46

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Solution

The fourth proportional to 120,181.85, 180,314.40 and 45,323.46 is: 68,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,181.85 : 180,314.40 = 45,323.46 : x
  2. Step 2: Convert to fraction form
    120,181.85/180,314.40 = 45,323.46/x
  3. Step 3: Cross multiply
    120,181.85x = 180,314.40 × 45,323.46
  4. Step 4: Simplify right side
    120,181.85x = 8,172,472,495.82
  5. Step 5: Solve for x
    x = 8,172,472,495.82/120,181.85
  6. Step 6: Final answer
    x = 68,000.89

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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.