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Finding the Fourth Proportional to 188,659.42, 282,953 and 73,253.90

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Solution

The fourth proportional to 188,659.42, 282,953 and 73,253.90 is: 109,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,659.42 : 282,953 = 73,253.90 : x
  2. Step 2: Convert to fraction form
    188,659.42/282,953 = 73,253.90/x
  3. Step 3: Cross multiply
    188,659.42x = 282,953 × 73,253.90
  4. Step 4: Simplify right side
    188,659.42x = 20,727,410,766.70
  5. Step 5: Solve for x
    x = 20,727,410,766.70/188,659.42
  6. Step 6: Final answer
    x = 109,866.82

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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.