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Finding the Fourth Proportional to 188,189.34, 259,637.94 and 120,246.03

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Solution

The fourth proportional to 188,189.34, 259,637.94 and 120,246.03 is: 165,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,189.34 : 259,637.94 = 120,246.03 : x
  2. Step 2: Convert to fraction form
    188,189.34/259,637.94 = 120,246.03/x
  3. Step 3: Cross multiply
    188,189.34x = 259,637.94 × 120,246.03
  4. Step 4: Simplify right side
    188,189.34x = 31,220,431,522.38
  5. Step 5: Solve for x
    x = 31,220,431,522.38/188,189.34
  6. Step 6: Final answer
    x = 165,899.05

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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.