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Finding the Fourth Proportional to 281,130.80, 421,696.20 and 254,865.20

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Solution

The fourth proportional to 281,130.80, 421,696.20 and 254,865.20 is: 382,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,130.80 : 421,696.20 = 254,865.20 : x
  2. Step 2: Convert to fraction form
    281,130.80/421,696.20 = 254,865.20/x
  3. Step 3: Cross multiply
    281,130.80x = 421,696.20 × 254,865.20
  4. Step 4: Simplify right side
    281,130.80x = 107,475,686,352.24
  5. Step 5: Solve for x
    x = 107,475,686,352.24/281,130.80
  6. Step 6: Final answer
    x = 382,297.80

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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.