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Finding the Fourth Proportional to 120,304.74, 180,457.20 and 75,998.82

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Solution

The fourth proportional to 120,304.74, 180,457.20 and 75,998.82 is: 113,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,304.74 : 180,457.20 = 75,998.82 : x
  2. Step 2: Convert to fraction form
    120,304.74/180,457.20 = 75,998.82/x
  3. Step 3: Cross multiply
    120,304.74x = 180,457.20 × 75,998.82
  4. Step 4: Simplify right side
    120,304.74x = 13,714,534,260.50
  5. Step 5: Solve for x
    x = 13,714,534,260.50/120,304.74
  6. Step 6: Final answer
    x = 113,998.29

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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.