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Finding the Fourth Proportional to 109,815.80, 164,918.10 and 84,916.40

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Solution

The fourth proportional to 109,815.80, 164,918.10 and 84,916.40 is: 127,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,815.80 : 164,918.10 = 84,916.40 : x
  2. Step 2: Convert to fraction form
    109,815.80/164,918.10 = 84,916.40/x
  3. Step 3: Cross multiply
    109,815.80x = 164,918.10 × 84,916.40
  4. Step 4: Simplify right side
    109,815.80x = 14,004,251,346.84
  5. Step 5: Solve for x
    x = 14,004,251,346.84/109,815.80
  6. Step 6: Final answer
    x = 127,524.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.