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Finding the Fourth Proportional to 120,471.60, 180,577.80 and 45,562.80

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Solution

The fourth proportional to 120,471.60, 180,577.80 and 45,562.80 is: 68,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,471.60 : 180,577.80 = 45,562.80 : x
  2. Step 2: Convert to fraction form
    120,471.60/180,577.80 = 45,562.80/x
  3. Step 3: Cross multiply
    120,471.60x = 180,577.80 × 45,562.80
  4. Step 4: Simplify right side
    120,471.60x = 8,227,630,185.84
  5. Step 5: Solve for x
    x = 8,227,630,185.84/120,471.60
  6. Step 6: Final answer
    x = 68,295.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.