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Finding the Fourth Proportional to 98,536.78, 147,819.77 and 36,202.42

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Solution

The fourth proportional to 98,536.78, 147,819.77 and 36,202.42 is: 54,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536.78 : 147,819.77 = 36,202.42 : x
  2. Step 2: Convert to fraction form
    98,536.78/147,819.77 = 36,202.42/x
  3. Step 3: Cross multiply
    98,536.78x = 147,819.77 × 36,202.42
  4. Step 4: Simplify right side
    98,536.78x = 5,351,433,397.84
  5. Step 5: Solve for x
    x = 5,351,433,397.84/98,536.78
  6. Step 6: Final answer
    x = 54,308.99

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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.