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Finding the Fourth Proportional to 109,754.16, 164,518.24 and 43,167.30

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Solution

The fourth proportional to 109,754.16, 164,518.24 and 43,167.30 is: 64,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754.16 : 164,518.24 = 43,167.30 : x
  2. Step 2: Convert to fraction form
    109,754.16/164,518.24 = 43,167.30/x
  3. Step 3: Cross multiply
    109,754.16x = 164,518.24 × 43,167.30
  4. Step 4: Simplify right side
    109,754.16x = 7,101,808,221.55
  5. Step 5: Solve for x
    x = 7,101,808,221.55/109,754.16
  6. Step 6: Final answer
    x = 64,706.51

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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.