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Finding the Fourth Proportional to 109,441.27, 164,082.13 and 73,814.13

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Solution

The fourth proportional to 109,441.27, 164,082.13 and 73,814.13 is: 110,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,441.27 : 164,082.13 = 73,814.13 : x
  2. Step 2: Convert to fraction form
    109,441.27/164,082.13 = 73,814.13/x
  3. Step 3: Cross multiply
    109,441.27x = 164,082.13 × 73,814.13
  4. Step 4: Simplify right side
    109,441.27x = 12,111,579,674.50
  5. Step 5: Solve for x
    x = 12,111,579,674.50/109,441.27
  6. Step 6: Final answer
    x = 110,667.39

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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.