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Finding the Fourth Proportional to 223,999.80, 335,883.06 and 105,639.36

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Solution

The fourth proportional to 223,999.80, 335,883.06 and 105,639.36 is: 158,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,999.80 : 335,883.06 = 105,639.36 : x
  2. Step 2: Convert to fraction form
    223,999.80/335,883.06 = 105,639.36/x
  3. Step 3: Cross multiply
    223,999.80x = 335,883.06 × 105,639.36
  4. Step 4: Simplify right side
    223,999.80x = 35,482,471,493.24
  5. Step 5: Solve for x
    x = 35,482,471,493.24/223,999.80
  6. Step 6: Final answer
    x = 158,404.03

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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.