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Finding the Fourth Proportional to 167,749, 251,623.50 and 43,090

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Solution

The fourth proportional to 167,749, 251,623.50 and 43,090 is: 64,635

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,749 : 251,623.50 = 43,090 : x
  2. Step 2: Convert to fraction form
    167,749/251,623.50 = 43,090/x
  3. Step 3: Cross multiply
    167,749x = 251,623.50 × 43,090
  4. Step 4: Simplify right side
    167,749x = 10,842,456,615
  5. Step 5: Solve for x
    x = 10,842,456,615/167,749
  6. Step 6: Final answer
    x = 64,635

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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.