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Finding the Fourth Proportional to 188,508.69, 282,964.47 and 76,262.28

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Solution

The fourth proportional to 188,508.69, 282,964.47 and 76,262.28 is: 114,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,508.69 : 282,964.47 = 76,262.28 : x
  2. Step 2: Convert to fraction form
    188,508.69/282,964.47 = 76,262.28/x
  3. Step 3: Cross multiply
    188,508.69x = 282,964.47 × 76,262.28
  4. Step 4: Simplify right side
    188,508.69x = 21,579,515,641.19
  5. Step 5: Solve for x
    x = 21,579,515,641.19/188,508.69
  6. Step 6: Final answer
    x = 114,474.91

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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.