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Finding the Fourth Proportional to 109,953.40, 164,930.10 and 109,297.30

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Solution

The fourth proportional to 109,953.40, 164,930.10 and 109,297.30 is: 163,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,953.40 : 164,930.10 = 109,297.30 : x
  2. Step 2: Convert to fraction form
    109,953.40/164,930.10 = 109,297.30/x
  3. Step 3: Cross multiply
    109,953.40x = 164,930.10 × 109,297.30
  4. Step 4: Simplify right side
    109,953.40x = 18,026,414,618.73
  5. Step 5: Solve for x
    x = 18,026,414,618.73/109,953.40
  6. Step 6: Final answer
    x = 163,945.95

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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.