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Finding the Fourth Proportional to 99,212.42, 148,819.84 and 29,093.16

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Solution

The fourth proportional to 99,212.42, 148,819.84 and 29,093.16 is: 43,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,212.42 : 148,819.84 = 29,093.16 : x
  2. Step 2: Convert to fraction form
    99,212.42/148,819.84 = 29,093.16/x
  3. Step 3: Cross multiply
    99,212.42x = 148,819.84 × 29,093.16
  4. Step 4: Simplify right side
    99,212.42x = 4,329,639,416.29
  5. Step 5: Solve for x
    x = 4,329,639,416.29/99,212.42
  6. Step 6: Final answer
    x = 43,640.09

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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.