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Finding the Fourth Proportional to 120,995.74, 181,457.18 and 57,783.26

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Solution

The fourth proportional to 120,995.74, 181,457.18 and 57,783.26 is: 86,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,995.74 : 181,457.18 = 57,783.26 : x
  2. Step 2: Convert to fraction form
    120,995.74/181,457.18 = 57,783.26/x
  3. Step 3: Cross multiply
    120,995.74x = 181,457.18 × 57,783.26
  4. Step 4: Simplify right side
    120,995.74x = 10,485,187,410.81
  5. Step 5: Solve for x
    x = 10,485,187,410.81/120,995.74
  6. Step 6: Final answer
    x = 86,657.49

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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.