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Finding the Fourth Proportional to 223,893.40, 335,956.74 and 99,205.24

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Solution

The fourth proportional to 223,893.40, 335,956.74 and 99,205.24 is: 148,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,893.40 : 335,956.74 = 99,205.24 : x
  2. Step 2: Convert to fraction form
    223,893.40/335,956.74 = 99,205.24/x
  3. Step 3: Cross multiply
    223,893.40x = 335,956.74 × 99,205.24
  4. Step 4: Simplify right side
    223,893.40x = 33,328,669,021.32
  5. Step 5: Solve for x
    x = 33,328,669,021.32/223,893.40
  6. Step 6: Final answer
    x = 148,859.54

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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.