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Finding the Fourth Proportional to 120,270.52, 180,266.37 and 45,342.69

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Solution

The fourth proportional to 120,270.52, 180,266.37 and 45,342.69 is: 67,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,270.52 : 180,266.37 = 45,342.69 : x
  2. Step 2: Convert to fraction form
    120,270.52/180,266.37 = 45,342.69/x
  3. Step 3: Cross multiply
    120,270.52x = 180,266.37 × 45,342.69
  4. Step 4: Simplify right side
    120,270.52x = 8,173,762,132.34
  5. Step 5: Solve for x
    x = 8,173,762,132.34/120,270.52
  6. Step 6: Final answer
    x = 67,961.48

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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.