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Finding the Fourth Proportional to 120,445.64, 180,572 and 57,234.04

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Solution

The fourth proportional to 120,445.64, 180,572 and 57,234.04 is: 85,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,445.64 : 180,572 = 57,234.04 : x
  2. Step 2: Convert to fraction form
    120,445.64/180,572 = 57,234.04/x
  3. Step 3: Cross multiply
    120,445.64x = 180,572 × 57,234.04
  4. Step 4: Simplify right side
    120,445.64x = 10,334,865,070.88
  5. Step 5: Solve for x
    x = 10,334,865,070.88/120,445.64
  6. Step 6: Final answer
    x = 85,805.22

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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.