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Finding the Fourth Proportional to 120,218.26, 180,384.10 and 53,652.46

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Solution

The fourth proportional to 120,218.26, 180,384.10 and 53,652.46 is: 80,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,218.26 : 180,384.10 = 53,652.46 : x
  2. Step 2: Convert to fraction form
    120,218.26/180,384.10 = 53,652.46/x
  3. Step 3: Cross multiply
    120,218.26x = 180,384.10 × 53,652.46
  4. Step 4: Simplify right side
    120,218.26x = 9,678,050,709.89
  5. Step 5: Solve for x
    x = 9,678,050,709.89/120,218.26
  6. Step 6: Final answer
    x = 80,504.00

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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.