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Finding the Fourth Proportional to 192,126.18, 288,093.94 and 65,730.66

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Solution

The fourth proportional to 192,126.18, 288,093.94 and 65,730.66 is: 98,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,126.18 : 288,093.94 = 65,730.66 : x
  2. Step 2: Convert to fraction form
    192,126.18/288,093.94 = 65,730.66/x
  3. Step 3: Cross multiply
    192,126.18x = 288,093.94 × 65,730.66
  4. Step 4: Simplify right side
    192,126.18x = 18,936,604,818.20
  5. Step 5: Solve for x
    x = 18,936,604,818.20/192,126.18
  6. Step 6: Final answer
    x = 98,563.38

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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.