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Finding the Fourth Proportional to 120,802.39, 181,129.14 and 40,832.80

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Solution

The fourth proportional to 120,802.39, 181,129.14 and 40,832.80 is: 61,224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802.39 : 181,129.14 = 40,832.80 : x
  2. Step 2: Convert to fraction form
    120,802.39/181,129.14 = 40,832.80/x
  3. Step 3: Cross multiply
    120,802.39x = 181,129.14 × 40,832.80
  4. Step 4: Simplify right side
    120,802.39x = 7,396,009,494.97
  5. Step 5: Solve for x
    x = 7,396,009,494.97/120,802.39
  6. Step 6: Final answer
    x = 61,224.03

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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.