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Finding the Fourth Proportional to 188,144.72, 259,638.32 and 102,101.84

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Solution

The fourth proportional to 188,144.72, 259,638.32 and 102,101.84 is: 140,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,144.72 : 259,638.32 = 102,101.84 : x
  2. Step 2: Convert to fraction form
    188,144.72/259,638.32 = 102,101.84/x
  3. Step 3: Cross multiply
    188,144.72x = 259,638.32 × 102,101.84
  4. Step 4: Simplify right side
    188,144.72x = 26,509,550,206.51
  5. Step 5: Solve for x
    x = 26,509,550,206.51/188,144.72
  6. Step 6: Final answer
    x = 140,899.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.