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Finding the Fourth Proportional to 229,199.01, 343,868.90 and 109,408.82

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Solution

The fourth proportional to 229,199.01, 343,868.90 and 109,408.82 is: 164,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,199.01 : 343,868.90 = 109,408.82 : x
  2. Step 2: Convert to fraction form
    229,199.01/343,868.90 = 109,408.82/x
  3. Step 3: Cross multiply
    229,199.01x = 343,868.90 × 109,408.82
  4. Step 4: Simplify right side
    229,199.01x = 37,622,290,427.38
  5. Step 5: Solve for x
    x = 37,622,290,427.38/229,199.01
  6. Step 6: Final answer
    x = 164,146.83

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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.