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Finding the Fourth Proportional to 109,971.29, 165,781.02 and 102,647.54

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Solution

The fourth proportional to 109,971.29, 165,781.02 and 102,647.54 is: 154,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,971.29 : 165,781.02 = 102,647.54 : x
  2. Step 2: Convert to fraction form
    109,971.29/165,781.02 = 102,647.54/x
  3. Step 3: Cross multiply
    109,971.29x = 165,781.02 × 102,647.54
  4. Step 4: Simplify right side
    109,971.29x = 17,017,013,368.45
  5. Step 5: Solve for x
    x = 17,017,013,368.45/109,971.29
  6. Step 6: Final answer
    x = 154,740.51

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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.