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Finding the Fourth Proportional to 225,934.83, 311,779.71 and 123,958.08

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Solution

The fourth proportional to 225,934.83, 311,779.71 and 123,958.08 is: 171,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,934.83 : 311,779.71 = 123,958.08 : x
  2. Step 2: Convert to fraction form
    225,934.83/311,779.71 = 123,958.08/x
  3. Step 3: Cross multiply
    225,934.83x = 311,779.71 × 123,958.08
  4. Step 4: Simplify right side
    225,934.83x = 38,647,614,234.56
  5. Step 5: Solve for x
    x = 38,647,614,234.56/225,934.83
  6. Step 6: Final answer
    x = 171,056.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.