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Finding the Fourth Proportional to 149,191.84, 205,863.04 and 84,651.04

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Solution

The fourth proportional to 149,191.84, 205,863.04 and 84,651.04 is: 116,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,191.84 : 205,863.04 = 84,651.04 : x
  2. Step 2: Convert to fraction form
    149,191.84/205,863.04 = 84,651.04/x
  3. Step 3: Cross multiply
    149,191.84x = 205,863.04 × 84,651.04
  4. Step 4: Simplify right side
    149,191.84x = 17,426,520,433.56
  5. Step 5: Solve for x
    x = 17,426,520,433.56/149,191.84
  6. Step 6: Final answer
    x = 116,806.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.