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Finding the Fourth Proportional to 92,206.23, 127,243.37 and 51,923.97

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Solution

The fourth proportional to 92,206.23, 127,243.37 and 51,923.97 is: 71,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,206.23 : 127,243.37 = 51,923.97 : x
  2. Step 2: Convert to fraction form
    92,206.23/127,243.37 = 51,923.97/x
  3. Step 3: Cross multiply
    92,206.23x = 127,243.37 × 51,923.97
  4. Step 4: Simplify right side
    92,206.23x = 6,606,980,666.96
  5. Step 5: Solve for x
    x = 6,606,980,666.96/92,206.23
  6. Step 6: Final answer
    x = 71,654.38

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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.