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Finding the Fourth Proportional to 188,754.36, 283,000.32 and 83,515.92

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Solution

The fourth proportional to 188,754.36, 283,000.32 and 83,515.92 is: 125,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,754.36 : 283,000.32 = 83,515.92 : x
  2. Step 2: Convert to fraction form
    188,754.36/283,000.32 = 83,515.92/x
  3. Step 3: Cross multiply
    188,754.36x = 283,000.32 × 83,515.92
  4. Step 4: Simplify right side
    188,754.36x = 23,635,032,085.09
  5. Step 5: Solve for x
    x = 23,635,032,085.09/188,754.36
  6. Step 6: Final answer
    x = 125,215.82

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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.