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Finding the Fourth Proportional to 188,082.51, 259,553.84 and 107,511.76

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Solution

The fourth proportional to 188,082.51, 259,553.84 and 107,511.76 is: 148,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,082.51 : 259,553.84 = 107,511.76 : x
  2. Step 2: Convert to fraction form
    188,082.51/259,553.84 = 107,511.76/x
  3. Step 3: Cross multiply
    188,082.51x = 259,553.84 × 107,511.76
  4. Step 4: Simplify right side
    188,082.51x = 27,905,089,387.18
  5. Step 5: Solve for x
    x = 27,905,089,387.18/188,082.51
  6. Step 6: Final answer
    x = 148,366.21

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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.