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Finding the Fourth Proportional to 454,114.80, 681,172.20 and 187,738.20

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Solution

The fourth proportional to 454,114.80, 681,172.20 and 187,738.20 is: 281,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,114.80 : 681,172.20 = 187,738.20 : x
  2. Step 2: Convert to fraction form
    454,114.80/681,172.20 = 187,738.20/x
  3. Step 3: Cross multiply
    454,114.80x = 681,172.20 × 187,738.20
  4. Step 4: Simplify right side
    454,114.80x = 127,882,042,718.04
  5. Step 5: Solve for x
    x = 127,882,042,718.04/454,114.80
  6. Step 6: Final answer
    x = 281,607.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.