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Finding the Fourth Proportional to 109,546.20, 164,384.10 and 72,214.20

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Solution

The fourth proportional to 109,546.20, 164,384.10 and 72,214.20 is: 108,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,546.20 : 164,384.10 = 72,214.20 : x
  2. Step 2: Convert to fraction form
    109,546.20/164,384.10 = 72,214.20/x
  3. Step 3: Cross multiply
    109,546.20x = 164,384.10 × 72,214.20
  4. Step 4: Simplify right side
    109,546.20x = 11,870,866,274.22
  5. Step 5: Solve for x
    x = 11,870,866,274.22/109,546.20
  6. Step 6: Final answer
    x = 108,364.02

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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.