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Finding the Fourth Proportional to 188,167.34, 259,668.72 and 102,126.48

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Solution

The fourth proportional to 188,167.34, 259,668.72 and 102,126.48 is: 140,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,167.34 : 259,668.72 = 102,126.48 : x
  2. Step 2: Convert to fraction form
    188,167.34/259,668.72 = 102,126.48/x
  3. Step 3: Cross multiply
    188,167.34x = 259,668.72 × 102,126.48
  4. Step 4: Simplify right side
    188,167.34x = 26,519,052,339.71
  5. Step 5: Solve for x
    x = 26,519,052,339.71/188,167.34
  6. Step 6: Final answer
    x = 140,933.34

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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.