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Finding the Fourth Proportional to 120,921, 181,385.56 and 54,361.32

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Solution

The fourth proportional to 120,921, 181,385.56 and 54,361.32 is: 81,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,921 : 181,385.56 = 54,361.32 : x
  2. Step 2: Convert to fraction form
    120,921/181,385.56 = 54,361.32/x
  3. Step 3: Cross multiply
    120,921x = 181,385.56 × 54,361.32
  4. Step 4: Simplify right side
    120,921x = 9,860,358,470.54
  5. Step 5: Solve for x
    x = 9,860,358,470.54/120,921
  6. Step 6: Final answer
    x = 81,543.81

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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.