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Finding the Fourth Proportional to 109,082.22, 163,623.36 and 34,208.22

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Solution

The fourth proportional to 109,082.22, 163,623.36 and 34,208.22 is: 51,312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,082.22 : 163,623.36 = 34,208.22 : x
  2. Step 2: Convert to fraction form
    109,082.22/163,623.36 = 34,208.22/x
  3. Step 3: Cross multiply
    109,082.22x = 163,623.36 × 34,208.22
  4. Step 4: Simplify right side
    109,082.22x = 5,597,263,896.02
  5. Step 5: Solve for x
    x = 5,597,263,896.02/109,082.22
  6. Step 6: Final answer
    x = 51,312.34

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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.