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Finding the Fourth Proportional to 223,857.40, 335,786.10 and 76,113.40

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Solution

The fourth proportional to 223,857.40, 335,786.10 and 76,113.40 is: 114,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,857.40 : 335,786.10 = 76,113.40 : x
  2. Step 2: Convert to fraction form
    223,857.40/335,786.10 = 76,113.40/x
  3. Step 3: Cross multiply
    223,857.40x = 335,786.10 × 76,113.40
  4. Step 4: Simplify right side
    223,857.40x = 25,557,821,743.74
  5. Step 5: Solve for x
    x = 25,557,821,743.74/223,857.40
  6. Step 6: Final answer
    x = 114,170.10

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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.