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Finding the Fourth Proportional to 109,616.60, 164,096.85 and 97,806.80

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Solution

The fourth proportional to 109,616.60, 164,096.85 and 97,806.80 is: 146,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,616.60 : 164,096.85 = 97,806.80 : x
  2. Step 2: Convert to fraction form
    109,616.60/164,096.85 = 97,806.80/x
  3. Step 3: Cross multiply
    109,616.60x = 164,096.85 × 97,806.80
  4. Step 4: Simplify right side
    109,616.60x = 16,049,787,788.58
  5. Step 5: Solve for x
    x = 16,049,787,788.58/109,616.60
  6. Step 6: Final answer
    x = 146,417.49

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Why These Related Problems?

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