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Finding the Fourth Proportional to 312,174.96, 468,072.81 and 122,407.97

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Solution

The fourth proportional to 312,174.96, 468,072.81 and 122,407.97 is: 183,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,174.96 : 468,072.81 = 122,407.97 : x
  2. Step 2: Convert to fraction form
    312,174.96/468,072.81 = 122,407.97/x
  3. Step 3: Cross multiply
    312,174.96x = 468,072.81 × 122,407.97
  4. Step 4: Simplify right side
    312,174.96x = 57,295,840,143.93
  5. Step 5: Solve for x
    x = 57,295,840,143.93/312,174.96
  6. Step 6: Final answer
    x = 183,537.59

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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.