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Finding the Fourth Proportional to 188,292.57, 259,768.59 and 120,291.89

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Solution

The fourth proportional to 188,292.57, 259,768.59 and 120,291.89 is: 165,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,292.57 : 259,768.59 = 120,291.89 : x
  2. Step 2: Convert to fraction form
    188,292.57/259,768.59 = 120,291.89/x
  3. Step 3: Cross multiply
    188,292.57x = 259,768.59 × 120,291.89
  4. Step 4: Simplify right side
    188,292.57x = 31,248,052,903.80
  5. Step 5: Solve for x
    x = 31,248,052,903.80/188,292.57
  6. Step 6: Final answer
    x = 165,954.79

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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.