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Finding the Fourth Proportional to 168,125, 232,012.50 and 92,675.12

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Solution

The fourth proportional to 168,125, 232,012.50 and 92,675.12 is: 127,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,125 : 232,012.50 = 92,675.12 : x
  2. Step 2: Convert to fraction form
    168,125/232,012.50 = 92,675.12/x
  3. Step 3: Cross multiply
    168,125x = 232,012.50 × 92,675.12
  4. Step 4: Simplify right side
    168,125x = 21,501,786,279
  5. Step 5: Solve for x
    x = 21,501,786,279/168,125
  6. Step 6: Final answer
    x = 127,891.67

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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.