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Finding the Fourth Proportional to 221,457.99, 305,612.42 and 120,855.99

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Solution

The fourth proportional to 221,457.99, 305,612.42 and 120,855.99 is: 166,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,457.99 : 305,612.42 = 120,855.99 : x
  2. Step 2: Convert to fraction form
    221,457.99/305,612.42 = 120,855.99/x
  3. Step 3: Cross multiply
    221,457.99x = 305,612.42 × 120,855.99
  4. Step 4: Simplify right side
    221,457.99x = 36,935,090,971.12
  5. Step 5: Solve for x
    x = 36,935,090,971.12/221,457.99
  6. Step 6: Final answer
    x = 166,781.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.