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Finding the Fourth Proportional to 220,213.80, 304,021.14 and 144,981

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Solution

The fourth proportional to 220,213.80, 304,021.14 and 144,981 is: 200,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,213.80 : 304,021.14 = 144,981 : x
  2. Step 2: Convert to fraction form
    220,213.80/304,021.14 = 144,981/x
  3. Step 3: Cross multiply
    220,213.80x = 304,021.14 × 144,981
  4. Step 4: Simplify right side
    220,213.80x = 44,077,288,898.34
  5. Step 5: Solve for x
    x = 44,077,288,898.34/220,213.80
  6. Step 6: Final answer
    x = 200,156.80

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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.