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Finding the Fourth Proportional to 223,843.80, 335,825.10 and 97,429.80

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Solution

The fourth proportional to 223,843.80, 335,825.10 and 97,429.80 is: 146,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,843.80 : 335,825.10 = 97,429.80 : x
  2. Step 2: Convert to fraction form
    223,843.80/335,825.10 = 97,429.80/x
  3. Step 3: Cross multiply
    223,843.80x = 335,825.10 × 97,429.80
  4. Step 4: Simplify right side
    223,843.80x = 32,719,372,327.98
  5. Step 5: Solve for x
    x = 32,719,372,327.98/223,843.80
  6. Step 6: Final answer
    x = 146,170.55

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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.