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Finding the Fourth Proportional to 120,592.56, 180,881.53 and 54,014.82

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Solution

The fourth proportional to 120,592.56, 180,881.53 and 54,014.82 is: 81,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,592.56 : 180,881.53 = 54,014.82 : x
  2. Step 2: Convert to fraction form
    120,592.56/180,881.53 = 54,014.82/x
  3. Step 3: Cross multiply
    120,592.56x = 180,881.53 × 54,014.82
  4. Step 4: Simplify right side
    120,592.56x = 9,770,283,284.27
  5. Step 5: Solve for x
    x = 9,770,283,284.27/120,592.56
  6. Step 6: Final answer
    x = 81,018.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.