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Finding the Fourth Proportional to 188,402.22, 259,998.01 and 102,362.90

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Solution

The fourth proportional to 188,402.22, 259,998.01 and 102,362.90 is: 141,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,402.22 : 259,998.01 = 102,362.90 : x
  2. Step 2: Convert to fraction form
    188,402.22/259,998.01 = 102,362.90/x
  3. Step 3: Cross multiply
    188,402.22x = 259,998.01 × 102,362.90
  4. Step 4: Simplify right side
    188,402.22x = 26,614,148,741.93
  5. Step 5: Solve for x
    x = 26,614,148,741.93/188,402.22
  6. Step 6: Final answer
    x = 141,262.39

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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.