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Finding the Fourth Proportional to 109,754.20, 164,976.90 and 101,459.80

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Solution

The fourth proportional to 109,754.20, 164,976.90 and 101,459.80 is: 152,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754.20 : 164,976.90 = 101,459.80 : x
  2. Step 2: Convert to fraction form
    109,754.20/164,976.90 = 101,459.80/x
  3. Step 3: Cross multiply
    109,754.20x = 164,976.90 × 101,459.80
  4. Step 4: Simplify right side
    109,754.20x = 16,738,523,278.62
  5. Step 5: Solve for x
    x = 16,738,523,278.62/109,754.20
  6. Step 6: Final answer
    x = 152,509.18

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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.