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Finding the Fourth Proportional to 188,633.32, 282,784.86 and 76,244.20

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Solution

The fourth proportional to 188,633.32, 282,784.86 and 76,244.20 is: 114,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,633.32 : 282,784.86 = 76,244.20 : x
  2. Step 2: Convert to fraction form
    188,633.32/282,784.86 = 76,244.20/x
  3. Step 3: Cross multiply
    188,633.32x = 282,784.86 × 76,244.20
  4. Step 4: Simplify right side
    188,633.32x = 21,560,705,422.81
  5. Step 5: Solve for x
    x = 21,560,705,422.81/188,633.32
  6. Step 6: Final answer
    x = 114,299.56

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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.