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Finding the Fourth Proportional to 120,438.40, 180,657.60 and 37,340.80

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Solution

The fourth proportional to 120,438.40, 180,657.60 and 37,340.80 is: 56,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,438.40 : 180,657.60 = 37,340.80 : x
  2. Step 2: Convert to fraction form
    120,438.40/180,657.60 = 37,340.80/x
  3. Step 3: Cross multiply
    120,438.40x = 180,657.60 × 37,340.80
  4. Step 4: Simplify right side
    120,438.40x = 6,745,899,310.08
  5. Step 5: Solve for x
    x = 6,745,899,310.08/120,438.40
  6. Step 6: Final answer
    x = 56,011.20

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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.