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Finding the Fourth Proportional to 120,474.10, 180,581.55 and 45,565.30

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Solution

The fourth proportional to 120,474.10, 180,581.55 and 45,565.30 is: 68,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,474.10 : 180,581.55 = 45,565.30 : x
  2. Step 2: Convert to fraction form
    120,474.10/180,581.55 = 45,565.30/x
  3. Step 3: Cross multiply
    120,474.10x = 180,581.55 × 45,565.30
  4. Step 4: Simplify right side
    120,474.10x = 8,228,252,500.22
  5. Step 5: Solve for x
    x = 8,228,252,500.22/120,474.10
  6. Step 6: Final answer
    x = 68,298.93

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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.