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Finding the Fourth Proportional to 223,856.69, 308,944.01 and 167,169.65

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Solution

The fourth proportional to 223,856.69, 308,944.01 and 167,169.65 is: 230,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,856.69 : 308,944.01 = 167,169.65 : x
  2. Step 2: Convert to fraction form
    223,856.69/308,944.01 = 167,169.65/x
  3. Step 3: Cross multiply
    223,856.69x = 308,944.01 × 167,169.65
  4. Step 4: Simplify right side
    223,856.69x = 51,646,061,185.45
  5. Step 5: Solve for x
    x = 51,646,061,185.45/223,856.69
  6. Step 6: Final answer
    x = 230,710.38

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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.