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Finding the Fourth Proportional to 188,776.92, 260,508.78 and 103,893.24

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Solution

The fourth proportional to 188,776.92, 260,508.78 and 103,893.24 is: 143,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,776.92 : 260,508.78 = 103,893.24 : x
  2. Step 2: Convert to fraction form
    188,776.92/260,508.78 = 103,893.24/x
  3. Step 3: Cross multiply
    188,776.92x = 260,508.78 × 103,893.24
  4. Step 4: Simplify right side
    188,776.92x = 27,065,101,202.65
  5. Step 5: Solve for x
    x = 27,065,101,202.65/188,776.92
  6. Step 6: Final answer
    x = 143,370.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.