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Finding the Fourth Proportional to 220,851.42, 304,697.31 and 144,415.23

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Solution

The fourth proportional to 220,851.42, 304,697.31 and 144,415.23 is: 199,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,851.42 : 304,697.31 = 144,415.23 : x
  2. Step 2: Convert to fraction form
    220,851.42/304,697.31 = 144,415.23/x
  3. Step 3: Cross multiply
    220,851.42x = 304,697.31 × 144,415.23
  4. Step 4: Simplify right side
    220,851.42x = 44,002,932,104.03
  5. Step 5: Solve for x
    x = 44,002,932,104.03/220,851.42
  6. Step 6: Final answer
    x = 199,242.24

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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.