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Finding the Fourth Proportional to 188,098.96, 259,579.74 and 103,223.92

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Solution

The fourth proportional to 188,098.96, 259,579.74 and 103,223.92 is: 142,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,098.96 : 259,579.74 = 103,223.92 : x
  2. Step 2: Convert to fraction form
    188,098.96/259,579.74 = 103,223.92/x
  3. Step 3: Cross multiply
    188,098.96x = 259,579.74 × 103,223.92
  4. Step 4: Simplify right side
    188,098.96x = 26,794,838,315.38
  5. Step 5: Solve for x
    x = 26,794,838,315.38/188,098.96
  6. Step 6: Final answer
    x = 142,450.75

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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.