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Finding the Fourth Proportional to 243,196.40, 365,086.20 and 136,665.20

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Solution

The fourth proportional to 243,196.40, 365,086.20 and 136,665.20 is: 205,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,196.40 : 365,086.20 = 136,665.20 : x
  2. Step 2: Convert to fraction form
    243,196.40/365,086.20 = 136,665.20/x
  3. Step 3: Cross multiply
    243,196.40x = 365,086.20 × 136,665.20
  4. Step 4: Simplify right side
    243,196.40x = 49,894,578,540.24
  5. Step 5: Solve for x
    x = 49,894,578,540.24/243,196.40
  6. Step 6: Final answer
    x = 205,161.67

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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.