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Finding the Fourth Proportional to 192,017.76, 287,992.02 and 51,743.64

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Solution

The fourth proportional to 192,017.76, 287,992.02 and 51,743.64 is: 77,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,017.76 : 287,992.02 = 51,743.64 : x
  2. Step 2: Convert to fraction form
    192,017.76/287,992.02 = 51,743.64/x
  3. Step 3: Cross multiply
    192,017.76x = 287,992.02 × 51,743.64
  4. Step 4: Simplify right side
    192,017.76x = 14,901,755,405.75
  5. Step 5: Solve for x
    x = 14,901,755,405.75/192,017.76
  6. Step 6: Final answer
    x = 77,606.13

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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.