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Finding the Fourth Proportional to 114,042.85, 170,958.42 and 54,099.45

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Solution

The fourth proportional to 114,042.85, 170,958.42 and 54,099.45 is: 81,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,042.85 : 170,958.42 = 54,099.45 : x
  2. Step 2: Convert to fraction form
    114,042.85/170,958.42 = 54,099.45/x
  3. Step 3: Cross multiply
    114,042.85x = 170,958.42 × 54,099.45
  4. Step 4: Simplify right side
    114,042.85x = 9,248,756,494.87
  5. Step 5: Solve for x
    x = 9,248,756,494.87/114,042.85
  6. Step 6: Final answer
    x = 81,098.96

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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.