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Finding the Fourth Proportional to 114,634.10, 171,981.02 and 43,558.02

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Solution

The fourth proportional to 114,634.10, 171,981.02 and 43,558.02 is: 65,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,634.10 : 171,981.02 = 43,558.02 : x
  2. Step 2: Convert to fraction form
    114,634.10/171,981.02 = 43,558.02/x
  3. Step 3: Cross multiply
    114,634.10x = 171,981.02 × 43,558.02
  4. Step 4: Simplify right side
    114,634.10x = 7,491,152,817.68
  5. Step 5: Solve for x
    x = 7,491,152,817.68/114,634.10
  6. Step 6: Final answer
    x = 65,348.38

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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.