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Finding the Fourth Proportional to 120,296.90, 180,487.20 and 53,730.56

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Solution

The fourth proportional to 120,296.90, 180,487.20 and 53,730.56 is: 80,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,296.90 : 180,487.20 = 53,730.56 : x
  2. Step 2: Convert to fraction form
    120,296.90/180,487.20 = 53,730.56/x
  3. Step 3: Cross multiply
    120,296.90x = 180,487.20 × 53,730.56
  4. Step 4: Simplify right side
    120,296.90x = 9,697,678,328.83
  5. Step 5: Solve for x
    x = 9,697,678,328.83/120,296.90
  6. Step 6: Final answer
    x = 80,614.53

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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.