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Finding the Fourth Proportional to 189,999.60, 284,999.17 and 76,198.75

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Solution

The fourth proportional to 189,999.60, 284,999.17 and 76,198.75 is: 114,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,999.60 : 284,999.17 = 76,198.75 : x
  2. Step 2: Convert to fraction form
    189,999.60/284,999.17 = 76,198.75/x
  3. Step 3: Cross multiply
    189,999.60x = 284,999.17 × 76,198.75
  4. Step 4: Simplify right side
    189,999.60x = 21,716,580,505.04
  5. Step 5: Solve for x
    x = 21,716,580,505.04/189,999.60
  6. Step 6: Final answer
    x = 114,298.03

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1.5x scale

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.