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Finding the Fourth Proportional to 109,412.10, 164,118.15 and 91,916.10

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Solution

The fourth proportional to 109,412.10, 164,118.15 and 91,916.10 is: 137,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,412.10 : 164,118.15 = 91,916.10 : x
  2. Step 2: Convert to fraction form
    109,412.10/164,118.15 = 91,916.10/x
  3. Step 3: Cross multiply
    109,412.10x = 164,118.15 × 91,916.10
  4. Step 4: Simplify right side
    109,412.10x = 15,085,100,287.22
  5. Step 5: Solve for x
    x = 15,085,100,287.22/109,412.10
  6. Step 6: Final answer
    x = 137,874.15

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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.