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Finding the Fourth Proportional to 188,164.96, 259,668.48 and 103,282.72

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Solution

The fourth proportional to 188,164.96, 259,668.48 and 103,282.72 is: 142,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,164.96 : 259,668.48 = 103,282.72 : x
  2. Step 2: Convert to fraction form
    188,164.96/259,668.48 = 103,282.72/x
  3. Step 3: Cross multiply
    188,164.96x = 259,668.48 × 103,282.72
  4. Step 4: Simplify right side
    188,164.96x = 26,819,266,912.67
  5. Step 5: Solve for x
    x = 26,819,266,912.67/188,164.96
  6. Step 6: Final answer
    x = 142,530.61

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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.