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Finding the Fourth Proportional to 188,394.34, 259,919.88 and 116,748.22

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Solution

The fourth proportional to 188,394.34, 259,919.88 and 116,748.22 is: 161,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,394.34 : 259,919.88 = 116,748.22 : x
  2. Step 2: Convert to fraction form
    188,394.34/259,919.88 = 116,748.22/x
  3. Step 3: Cross multiply
    188,394.34x = 259,919.88 × 116,748.22
  4. Step 4: Simplify right side
    188,394.34x = 30,345,183,332.61
  5. Step 5: Solve for x
    x = 30,345,183,332.61/188,394.34
  6. Step 6: Final answer
    x = 161,072.69

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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.