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Finding the Fourth Proportional to 109,611.10, 164,416.65 and 72,213.40

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Solution

The fourth proportional to 109,611.10, 164,416.65 and 72,213.40 is: 108,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,611.10 : 164,416.65 = 72,213.40 : x
  2. Step 2: Convert to fraction form
    109,611.10/164,416.65 = 72,213.40/x
  3. Step 3: Cross multiply
    109,611.10x = 164,416.65 × 72,213.40
  4. Step 4: Simplify right side
    109,611.10x = 11,873,085,313.11
  5. Step 5: Solve for x
    x = 11,873,085,313.11/109,611.10
  6. Step 6: Final answer
    x = 108,320.10

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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.