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Finding the Fourth Proportional to 120,438.60, 180,312.30 and 73,782.60

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Solution

The fourth proportional to 120,438.60, 180,312.30 and 73,782.60 is: 110,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,438.60 : 180,312.30 = 73,782.60 : x
  2. Step 2: Convert to fraction form
    120,438.60/180,312.30 = 73,782.60/x
  3. Step 3: Cross multiply
    120,438.60x = 180,312.30 × 73,782.60
  4. Step 4: Simplify right side
    120,438.60x = 13,303,910,305.98
  5. Step 5: Solve for x
    x = 13,303,910,305.98/120,438.60
  6. Step 6: Final answer
    x = 110,462.18

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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.