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Finding the Fourth Proportional to 109,697.40, 164,546.10 and 101,057.40

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Solution

The fourth proportional to 109,697.40, 164,546.10 and 101,057.40 is: 151,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,697.40 : 164,546.10 = 101,057.40 : x
  2. Step 2: Convert to fraction form
    109,697.40/164,546.10 = 101,057.40/x
  3. Step 3: Cross multiply
    109,697.40x = 164,546.10 × 101,057.40
  4. Step 4: Simplify right side
    109,697.40x = 16,628,601,046.14
  5. Step 5: Solve for x
    x = 16,628,601,046.14/109,697.40
  6. Step 6: Final answer
    x = 151,586.10

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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.