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Finding the Fourth Proportional to 320,210.10, 480,324.87 and 109,845

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Solution

The fourth proportional to 320,210.10, 480,324.87 and 109,845 is: 164,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,210.10 : 480,324.87 = 109,845 : x
  2. Step 2: Convert to fraction form
    320,210.10/480,324.87 = 109,845/x
  3. Step 3: Cross multiply
    320,210.10x = 480,324.87 × 109,845
  4. Step 4: Simplify right side
    320,210.10x = 52,761,285,345.15
  5. Step 5: Solve for x
    x = 52,761,285,345.15/320,210.10
  6. Step 6: Final answer
    x = 164,770.83

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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.