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Finding the Fourth Proportional to 223,852.91, 335,896.01 and 99,164.75

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Solution

The fourth proportional to 223,852.91, 335,896.01 and 99,164.75 is: 148,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,852.91 : 335,896.01 = 99,164.75 : x
  2. Step 2: Convert to fraction form
    223,852.91/335,896.01 = 99,164.75/x
  3. Step 3: Cross multiply
    223,852.91x = 335,896.01 × 99,164.75
  4. Step 4: Simplify right side
    223,852.91x = 33,309,043,857.65
  5. Step 5: Solve for x
    x = 33,309,043,857.65/223,852.91
  6. Step 6: Final answer
    x = 148,798.80

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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.