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Finding the Fourth Proportional to 223,571.82, 335,357.67 and 130,011.96

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Solution

The fourth proportional to 223,571.82, 335,357.67 and 130,011.96 is: 195,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,571.82 : 335,357.67 = 130,011.96 : x
  2. Step 2: Convert to fraction form
    223,571.82/335,357.67 = 130,011.96/x
  3. Step 3: Cross multiply
    223,571.82x = 335,357.67 × 130,011.96
  4. Step 4: Simplify right side
    223,571.82x = 43,600,507,977.73
  5. Step 5: Solve for x
    x = 43,600,507,977.73/223,571.82
  6. Step 6: Final answer
    x = 195,017.91

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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.