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Finding the Fourth Proportional to 120,216.51, 180,381.47 and 53,650.71

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Solution

The fourth proportional to 120,216.51, 180,381.47 and 53,650.71 is: 80,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,216.51 : 180,381.47 = 53,650.71 : x
  2. Step 2: Convert to fraction form
    120,216.51/180,381.47 = 53,650.71/x
  3. Step 3: Cross multiply
    120,216.51x = 180,381.47 × 53,650.71
  4. Step 4: Simplify right side
    120,216.51x = 9,677,593,668.09
  5. Step 5: Solve for x
    x = 9,677,593,668.09/120,216.51
  6. Step 6: Final answer
    x = 80,501.37

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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.