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Finding the Fourth Proportional to 120,393.93, 180,616.01 and 36,150.69

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Solution

The fourth proportional to 120,393.93, 180,616.01 and 36,150.69 is: 54,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,393.93 : 180,616.01 = 36,150.69 : x
  2. Step 2: Convert to fraction form
    120,393.93/180,616.01 = 36,150.69/x
  3. Step 3: Cross multiply
    120,393.93x = 180,616.01 × 36,150.69
  4. Step 4: Simplify right side
    120,393.93x = 6,529,393,386.55
  5. Step 5: Solve for x
    x = 6,529,393,386.55/120,393.93
  6. Step 6: Final answer
    x = 54,233.58

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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.