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Finding the Fourth Proportional to 186,804.96, 257,791.68 and 101,923.80

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Solution

The fourth proportional to 186,804.96, 257,791.68 and 101,923.80 is: 140,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,804.96 : 257,791.68 = 101,923.80 : x
  2. Step 2: Convert to fraction form
    186,804.96/257,791.68 = 101,923.80/x
  3. Step 3: Cross multiply
    186,804.96x = 257,791.68 × 101,923.80
  4. Step 4: Simplify right side
    186,804.96x = 26,275,107,633.98
  5. Step 5: Solve for x
    x = 26,275,107,633.98/186,804.96
  6. Step 6: Final answer
    x = 140,655.30

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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.