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Finding the Fourth Proportional to 188,759.52, 283,188.29 and 70,431.75

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Solution

The fourth proportional to 188,759.52, 283,188.29 and 70,431.75 is: 105,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,759.52 : 283,188.29 = 70,431.75 : x
  2. Step 2: Convert to fraction form
    188,759.52/283,188.29 = 70,431.75/x
  3. Step 3: Cross multiply
    188,759.52x = 283,188.29 × 70,431.75
  4. Step 4: Simplify right side
    188,759.52x = 19,945,446,492.05
  5. Step 5: Solve for x
    x = 19,945,446,492.05/188,759.52
  6. Step 6: Final answer
    x = 105,665.91

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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.