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Finding the Fourth Proportional to 114,604.38, 171,941.78 and 54,709.29

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Solution

The fourth proportional to 114,604.38, 171,941.78 and 54,709.29 is: 82,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,604.38 : 171,941.78 = 54,709.29 : x
  2. Step 2: Convert to fraction form
    114,604.38/171,941.78 = 54,709.29/x
  3. Step 3: Cross multiply
    114,604.38x = 171,941.78 × 54,709.29
  4. Step 4: Simplify right side
    114,604.38x = 9,406,812,431.59
  5. Step 5: Solve for x
    x = 9,406,812,431.59/114,604.38
  6. Step 6: Final answer
    x = 82,080.74

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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.