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Finding the Fourth Proportional to 127,986.86, 192,017.14 and 39,253.38

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Solution

The fourth proportional to 127,986.86, 192,017.14 and 39,253.38 is: 58,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,986.86 : 192,017.14 = 39,253.38 : x
  2. Step 2: Convert to fraction form
    127,986.86/192,017.14 = 39,253.38/x
  3. Step 3: Cross multiply
    127,986.86x = 192,017.14 × 39,253.38
  4. Step 4: Simplify right side
    127,986.86x = 7,537,321,762.93
  5. Step 5: Solve for x
    x = 7,537,321,762.93/127,986.86
  6. Step 6: Final answer
    x = 58,891.37

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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.