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Finding the Fourth Proportional to 189,860.80, 284,834.40 and 110,934.40

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Solution

The fourth proportional to 189,860.80, 284,834.40 and 110,934.40 is: 166,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,860.80 : 284,834.40 = 110,934.40 : x
  2. Step 2: Convert to fraction form
    189,860.80/284,834.40 = 110,934.40/x
  3. Step 3: Cross multiply
    189,860.80x = 284,834.40 × 110,934.40
  4. Step 4: Simplify right side
    189,860.80x = 31,597,933,263.36
  5. Step 5: Solve for x
    x = 31,597,933,263.36/189,860.80
  6. Step 6: Final answer
    x = 166,426.84

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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.