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Finding the Fourth Proportional to 206,325.34, 309,488.01 and 136,188.25

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Solution

The fourth proportional to 206,325.34, 309,488.01 and 136,188.25 is: 204,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,325.34 : 309,488.01 = 136,188.25 : x
  2. Step 2: Convert to fraction form
    206,325.34/309,488.01 = 136,188.25/x
  3. Step 3: Cross multiply
    206,325.34x = 309,488.01 × 136,188.25
  4. Step 4: Simplify right side
    206,325.34x = 42,148,630,477.88
  5. Step 5: Solve for x
    x = 42,148,630,477.88/206,325.34
  6. Step 6: Final answer
    x = 204,282.38

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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.