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Finding the Fourth Proportional to 109,971.26, 165,780.97 and 102,647.51

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Solution

The fourth proportional to 109,971.26, 165,780.97 and 102,647.51 is: 154,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,971.26 : 165,780.97 = 102,647.51 : x
  2. Step 2: Convert to fraction form
    109,971.26/165,780.97 = 102,647.51/x
  3. Step 3: Cross multiply
    109,971.26x = 165,780.97 × 102,647.51
  4. Step 4: Simplify right side
    109,971.26x = 17,017,003,775.88
  5. Step 5: Solve for x
    x = 17,017,003,775.88/109,971.26
  6. Step 6: Final answer
    x = 154,740.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.