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Finding the Fourth Proportional to 223,560.26, 335,435.16 and 105,228.98

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Solution

The fourth proportional to 223,560.26, 335,435.16 and 105,228.98 is: 157,888.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,560.26 : 335,435.16 = 105,228.98 : x
  2. Step 2: Convert to fraction form
    223,560.26/335,435.16 = 105,228.98/x
  3. Step 3: Cross multiply
    223,560.26x = 335,435.16 × 105,228.98
  4. Step 4: Simplify right side
    223,560.26x = 35,297,499,742.94
  5. Step 5: Solve for x
    x = 35,297,499,742.94/223,560.26
  6. Step 6: Final answer
    x = 157,888.08

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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.