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Finding the Fourth Proportional to 281,126.40, 421,835.40 and 123,370.80

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Solution

The fourth proportional to 281,126.40, 421,835.40 and 123,370.80 is: 185,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,126.40 : 421,835.40 = 123,370.80 : x
  2. Step 2: Convert to fraction form
    281,126.40/421,835.40 = 123,370.80/x
  3. Step 3: Cross multiply
    281,126.40x = 421,835.40 × 123,370.80
  4. Step 4: Simplify right side
    281,126.40x = 52,042,170,766.32
  5. Step 5: Solve for x
    x = 52,042,170,766.32/281,126.40
  6. Step 6: Final answer
    x = 185,120.18

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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.