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Finding the Fourth Proportional to 223,099.65, 307,617.39 and 166,412.61

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Solution

The fourth proportional to 223,099.65, 307,617.39 and 166,412.61 is: 229,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,099.65 : 307,617.39 = 166,412.61 : x
  2. Step 2: Convert to fraction form
    223,099.65/307,617.39 = 166,412.61/x
  3. Step 3: Cross multiply
    223,099.65x = 307,617.39 × 166,412.61
  4. Step 4: Simplify right side
    223,099.65x = 51,191,412,751.29
  5. Step 5: Solve for x
    x = 51,191,412,751.29/223,099.65
  6. Step 6: Final answer
    x = 229,455.37

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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.